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Finding the Fourth Proportional to 8,032.97, 12,049.70 and 2,486.43

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Solution

The fourth proportional to 8,032.97, 12,049.70 and 2,486.43 is: 3,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.97 : 12,049.70 = 2,486.43 : x
  2. Step 2: Convert to fraction form
    8,032.97/12,049.70 = 2,486.43/x
  3. Step 3: Cross multiply
    8,032.97x = 12,049.70 × 2,486.43
  4. Step 4: Simplify right side
    8,032.97x = 29,960,723.14
  5. Step 5: Solve for x
    x = 29,960,723.14/8,032.97
  6. Step 6: Final answer
    x = 3,729.72

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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.