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Finding the Fourth Proportional to 10,545.32, 14,552.84 and 5,829.90

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Solution

The fourth proportional to 10,545.32, 14,552.84 and 5,829.90 is: 8,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.32 : 14,552.84 = 5,829.90 : x
  2. Step 2: Convert to fraction form
    10,545.32/14,552.84 = 5,829.90/x
  3. Step 3: Cross multiply
    10,545.32x = 14,552.84 × 5,829.90
  4. Step 4: Simplify right side
    10,545.32x = 84,841,601.92
  5. Step 5: Solve for x
    x = 84,841,601.92/10,545.32
  6. Step 6: Final answer
    x = 8,045.43

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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.