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Finding the Fourth Proportional to 8,687.75, 12,998.82 and 5,385.38

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Solution

The fourth proportional to 8,687.75, 12,998.82 and 5,385.38 is: 8,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.75 : 12,998.82 = 5,385.38 : x
  2. Step 2: Convert to fraction form
    8,687.75/12,998.82 = 5,385.38/x
  3. Step 3: Cross multiply
    8,687.75x = 12,998.82 × 5,385.38
  4. Step 4: Simplify right side
    8,687.75x = 70,003,585.25
  5. Step 5: Solve for x
    x = 70,003,585.25/8,687.75
  6. Step 6: Final answer
    x = 8,057.73

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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.