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Finding the Fourth Proportional to 10,772.16, 14,871.20 and 7,253.92

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Solution

The fourth proportional to 10,772.16, 14,871.20 and 7,253.92 is: 10,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.16 : 14,871.20 = 7,253.92 : x
  2. Step 2: Convert to fraction form
    10,772.16/14,871.20 = 7,253.92/x
  3. Step 3: Cross multiply
    10,772.16x = 14,871.20 × 7,253.92
  4. Step 4: Simplify right side
    10,772.16x = 107,874,495.10
  5. Step 5: Solve for x
    x = 107,874,495.10/10,772.16
  6. Step 6: Final answer
    x = 10,014.19

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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.