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Finding the Fourth Proportional to 8,257.74, 12,387.72 and 2,414.28

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Solution

The fourth proportional to 8,257.74, 12,387.72 and 2,414.28 is: 3,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.74 : 12,387.72 = 2,414.28 : x
  2. Step 2: Convert to fraction form
    8,257.74/12,387.72 = 2,414.28/x
  3. Step 3: Cross multiply
    8,257.74x = 12,387.72 × 2,414.28
  4. Step 4: Simplify right side
    8,257.74x = 29,907,424.64
  5. Step 5: Solve for x
    x = 29,907,424.64/8,257.74
  6. Step 6: Final answer
    x = 3,621.74

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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.