If the amount for which a tortfeasor or an insurer is liable to the patient on account of his or her injury is not sufficient to pay in full the claims of all practitioners, nurses, hospitals, and ambulance service providers that rendered service in the case and who have given notice of liens, then each practitioner, nurse, hospital, and ambulance service provider shall share in the amount payable to the patient in the proportion that his or her claim bears to the total amount claimed by all other practitioners, nurses, hospitals, and ambulance service providers.