A patient presents with fatigue, pallor, and petechiae. Coagulation studies reveal an elevated prothrombin time and partial thromboplastin time, with a reduction in platelet count. Which hematologic disorder is most likely responsible for these findings?
Acute leukemia
Vitamin K deficiency
Disseminated intravascular coagulation (DIC)
Idiopathic thrombocytopenic purpura (ITP)