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Finding the Fourth Proportional to 11,984.13, 16,545.80 and 7,737.10

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Solution

The fourth proportional to 11,984.13, 16,545.80 and 7,737.10 is: 10,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.13 : 16,545.80 = 7,737.10 : x
  2. Step 2: Convert to fraction form
    11,984.13/16,545.80 = 7,737.10/x
  3. Step 3: Cross multiply
    11,984.13x = 16,545.80 × 7,737.10
  4. Step 4: Simplify right side
    11,984.13x = 128,016,487.16
  5. Step 5: Solve for x
    x = 128,016,487.16/11,984.13
  6. Step 6: Final answer
    x = 10,682.17

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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.