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Finding the Fourth Proportional to 8,414.73, 12,622.14 and 2,571.39

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Solution

The fourth proportional to 8,414.73, 12,622.14 and 2,571.39 is: 3,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.73 : 12,622.14 = 2,571.39 : x
  2. Step 2: Convert to fraction form
    8,414.73/12,622.14 = 2,571.39/x
  3. Step 3: Cross multiply
    8,414.73x = 12,622.14 × 2,571.39
  4. Step 4: Simplify right side
    8,414.73x = 32,456,444.57
  5. Step 5: Solve for x
    x = 32,456,444.57/8,414.73
  6. Step 6: Final answer
    x = 3,857.10

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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.