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Finding the Fourth Proportional to 10,545.72, 14,553.84 and 5,829.92

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Solution

The fourth proportional to 10,545.72, 14,553.84 and 5,829.92 is: 8,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.72 : 14,553.84 = 5,829.92 : x
  2. Step 2: Convert to fraction form
    10,545.72/14,553.84 = 5,829.92/x
  3. Step 3: Cross multiply
    10,545.72x = 14,553.84 × 5,829.92
  4. Step 4: Simplify right side
    10,545.72x = 84,847,722.89
  5. Step 5: Solve for x
    x = 84,847,722.89/10,545.72
  6. Step 6: Final answer
    x = 8,045.70

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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.