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Finding the Fourth Proportional to 8,257.47, 12,386.31 and 2,414.20

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Solution

The fourth proportional to 8,257.47, 12,386.31 and 2,414.20 is: 3,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.47 : 12,386.31 = 2,414.20 : x
  2. Step 2: Convert to fraction form
    8,257.47/12,386.31 = 2,414.20/x
  3. Step 3: Cross multiply
    8,257.47x = 12,386.31 × 2,414.20
  4. Step 4: Simplify right side
    8,257.47x = 29,903,029.60
  5. Step 5: Solve for x
    x = 29,903,029.60/8,257.47
  6. Step 6: Final answer
    x = 3,621.33

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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.