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Finding the Fourth Proportional to 8,314.54, 12,472.44 and 2,471.14

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Solution

The fourth proportional to 8,314.54, 12,472.44 and 2,471.14 is: 3,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.54 : 12,472.44 = 2,471.14 : x
  2. Step 2: Convert to fraction form
    8,314.54/12,472.44 = 2,471.14/x
  3. Step 3: Cross multiply
    8,314.54x = 12,472.44 × 2,471.14
  4. Step 4: Simplify right side
    8,314.54x = 30,821,145.38
  5. Step 5: Solve for x
    x = 30,821,145.38/8,314.54
  6. Step 6: Final answer
    x = 3,706.90

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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.