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Finding the Fourth Proportional to 10,380.96, 15,571.46 and 8,314.11

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Solution

The fourth proportional to 10,380.96, 15,571.46 and 8,314.11 is: 12,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.96 : 15,571.46 = 8,314.11 : x
  2. Step 2: Convert to fraction form
    10,380.96/15,571.46 = 8,314.11/x
  3. Step 3: Cross multiply
    10,380.96x = 15,571.46 × 8,314.11
  4. Step 4: Simplify right side
    10,380.96x = 129,462,789.73
  5. Step 5: Solve for x
    x = 129,462,789.73/10,380.96
  6. Step 6: Final answer
    x = 12,471.18

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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.