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Finding the Fourth Proportional to 10,717.92, 14,791.20 and 6,737.52

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Solution

The fourth proportional to 10,717.92, 14,791.20 and 6,737.52 is: 9,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.92 : 14,791.20 = 6,737.52 : x
  2. Step 2: Convert to fraction form
    10,717.92/14,791.20 = 6,737.52/x
  3. Step 3: Cross multiply
    10,717.92x = 14,791.20 × 6,737.52
  4. Step 4: Simplify right side
    10,717.92x = 99,656,005.82
  5. Step 5: Solve for x
    x = 99,656,005.82/10,717.92
  6. Step 6: Final answer
    x = 9,298.07

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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.