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Finding the Fourth Proportional to 8,231.97, 12,349.17 and 2,387.82

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Solution

The fourth proportional to 8,231.97, 12,349.17 and 2,387.82 is: 3,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.97 : 12,349.17 = 2,387.82 : x
  2. Step 2: Convert to fraction form
    8,231.97/12,349.17 = 2,387.82/x
  3. Step 3: Cross multiply
    8,231.97x = 12,349.17 × 2,387.82
  4. Step 4: Simplify right side
    8,231.97x = 29,487,595.11
  5. Step 5: Solve for x
    x = 29,487,595.11/8,231.97
  6. Step 6: Final answer
    x = 3,582.08

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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.