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Finding the Fourth Proportional to 12,562.80, 18,838.86 and 3,792.96

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Solution

The fourth proportional to 12,562.80, 18,838.86 and 3,792.96 is: 5,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.80 : 18,838.86 = 3,792.96 : x
  2. Step 2: Convert to fraction form
    12,562.80/18,838.86 = 3,792.96/x
  3. Step 3: Cross multiply
    12,562.80x = 18,838.86 × 3,792.96
  4. Step 4: Simplify right side
    12,562.80x = 71,455,042.43
  5. Step 5: Solve for x
    x = 71,455,042.43/12,562.80
  6. Step 6: Final answer
    x = 5,687.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.