Coolant draining off the back of the engine is often misdiagnosed. Best practice is to remove the reinforcement plate and the splash shield and use a bright flashlight to trace the fluid to the highest point possible. Doing so, will eliminate places the coolant could be leaking from the front of the engine and flowing to the back of the engine to exit. If the front sources are not the problem you may be able to see back of the engine sources from below though it is necessary to remove the engine cover and cabin filter housing. Most of the time you will find the problem is a coolant hose.

My guess based the odds and the appearance of the hoses in the pictures the source of the coolant leak is the broken hose. though I can't tell by picture how much could drain from the the break. To be sure of the source you would have to pressurize the system.

Since you already have the intake removed you may want to be safe rather than sorry. Either way it is a good time to replace at least all the hoses in that area while you have easier access.

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X5 4.6 2002 Black Sap, Black interior. 2013 X5M Melbourne Red, Bamboo interior
Dallas