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Finding the Fourth Proportional to 11,916.37, 16,451.85 and 7,444

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Solution

The fourth proportional to 11,916.37, 16,451.85 and 7,444 is: 10,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.37 : 16,451.85 = 7,444 : x
  2. Step 2: Convert to fraction form
    11,916.37/16,451.85 = 7,444/x
  3. Step 3: Cross multiply
    11,916.37x = 16,451.85 × 7,444
  4. Step 4: Simplify right side
    11,916.37x = 122,467,571.40
  5. Step 5: Solve for x
    x = 122,467,571.40/11,916.37
  6. Step 6: Final answer
    x = 10,277.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.