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Finding the Fourth Proportional to 8,474.38, 12,713.42 and 3,476.78

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Solution

The fourth proportional to 8,474.38, 12,713.42 and 3,476.78 is: 5,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.38 : 12,713.42 = 3,476.78 : x
  2. Step 2: Convert to fraction form
    8,474.38/12,713.42 = 3,476.78/x
  3. Step 3: Cross multiply
    8,474.38x = 12,713.42 × 3,476.78
  4. Step 4: Simplify right side
    8,474.38x = 44,201,764.39
  5. Step 5: Solve for x
    x = 44,201,764.39/8,474.38
  6. Step 6: Final answer
    x = 5,215.93

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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.