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Finding the Fourth Proportional to 8,414.74, 12,622.13 and 2,571.36

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Solution

The fourth proportional to 8,414.74, 12,622.13 and 2,571.36 is: 3,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.74 : 12,622.13 = 2,571.36 : x
  2. Step 2: Convert to fraction form
    8,414.74/12,622.13 = 2,571.36/x
  3. Step 3: Cross multiply
    8,414.74x = 12,622.13 × 2,571.36
  4. Step 4: Simplify right side
    8,414.74x = 32,456,040.20
  5. Step 5: Solve for x
    x = 32,456,040.20/8,414.74
  6. Step 6: Final answer
    x = 3,857.05

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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.