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Finding the Fourth Proportional to 8,241.87, 12,351.87 and 7,141.08

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Solution

The fourth proportional to 8,241.87, 12,351.87 and 7,141.08 is: 10,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.87 : 12,351.87 = 7,141.08 : x
  2. Step 2: Convert to fraction form
    8,241.87/12,351.87 = 7,141.08/x
  3. Step 3: Cross multiply
    8,241.87x = 12,351.87 × 7,141.08
  4. Step 4: Simplify right side
    8,241.87x = 88,205,691.82
  5. Step 5: Solve for x
    x = 88,205,691.82/8,241.87
  6. Step 6: Final answer
    x = 10,702.15

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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.