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Finding the Fourth Proportional to 8,414.71, 12,614.43 and 5,285.25

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Solution

The fourth proportional to 8,414.71, 12,614.43 and 5,285.25 is: 7,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.71 : 12,614.43 = 5,285.25 : x
  2. Step 2: Convert to fraction form
    8,414.71/12,614.43 = 5,285.25/x
  3. Step 3: Cross multiply
    8,414.71x = 12,614.43 × 5,285.25
  4. Step 4: Simplify right side
    8,414.71x = 66,670,435.98
  5. Step 5: Solve for x
    x = 66,670,435.98/8,414.71
  6. Step 6: Final answer
    x = 7,923.08

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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.