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Finding the Fourth Proportional to 8,562.11, 12,843.16 and 5,639.73

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Solution

The fourth proportional to 8,562.11, 12,843.16 and 5,639.73 is: 8,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.11 : 12,843.16 = 5,639.73 : x
  2. Step 2: Convert to fraction form
    8,562.11/12,843.16 = 5,639.73/x
  3. Step 3: Cross multiply
    8,562.11x = 12,843.16 × 5,639.73
  4. Step 4: Simplify right side
    8,562.11x = 72,431,892.49
  5. Step 5: Solve for x
    x = 72,431,892.49/8,562.11
  6. Step 6: Final answer
    x = 8,459.59

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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.