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Finding the Fourth Proportional to 8,542.67, 12,815.42 and 3,612.38

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Solution

The fourth proportional to 8,542.67, 12,815.42 and 3,612.38 is: 5,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.67 : 12,815.42 = 3,612.38 : x
  2. Step 2: Convert to fraction form
    8,542.67/12,815.42 = 3,612.38/x
  3. Step 3: Cross multiply
    8,542.67x = 12,815.42 × 3,612.38
  4. Step 4: Simplify right side
    8,542.67x = 46,294,084.76
  5. Step 5: Solve for x
    x = 46,294,084.76/8,542.67
  6. Step 6: Final answer
    x = 5,419.16

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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.