Final answer:
The vestibulospinal tract is responsible for incorporating equilibrium sensations with motor commands to assist in controlling posture and movement.
Step-by-step explanation:
The extrapyramidal tract that incorporates equilibrium sensations with motor commands to aid in posture and movement is the vestibulospinal tract. This tract connects the brain stem nuclei of the vestibular system with the spinal cord, allowing the body to modulate posture, movement, and balance based on equilibrium information. The vestibulospinal tract works in conjunction with other neural pathways to ensure coordinated movement and posture control.