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Finding the Fourth Proportional to 8,542.87, 12,814.10 and 2,996.19

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Solution

The fourth proportional to 8,542.87, 12,814.10 and 2,996.19 is: 4,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.87 : 12,814.10 = 2,996.19 : x
  2. Step 2: Convert to fraction form
    8,542.87/12,814.10 = 2,996.19/x
  3. Step 3: Cross multiply
    8,542.87x = 12,814.10 × 2,996.19
  4. Step 4: Simplify right side
    8,542.87x = 38,393,474.53
  5. Step 5: Solve for x
    x = 38,393,474.53/8,542.87
  6. Step 6: Final answer
    x = 4,494.21

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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.