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Finding the Fourth Proportional to 8,252.28, 12,380.31 and 2,408.94

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Solution

The fourth proportional to 8,252.28, 12,380.31 and 2,408.94 is: 3,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.28 : 12,380.31 = 2,408.94 : x
  2. Step 2: Convert to fraction form
    8,252.28/12,380.31 = 2,408.94/x
  3. Step 3: Cross multiply
    8,252.28x = 12,380.31 × 2,408.94
  4. Step 4: Simplify right side
    8,252.28x = 29,823,423.97
  5. Step 5: Solve for x
    x = 29,823,423.97/8,252.28
  6. Step 6: Final answer
    x = 3,613.96

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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.