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Finding the Fourth Proportional to 8,242.32, 11,379.65 and 5,414.73

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Solution

The fourth proportional to 8,242.32, 11,379.65 and 5,414.73 is: 7,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.32 : 11,379.65 = 5,414.73 : x
  2. Step 2: Convert to fraction form
    8,242.32/11,379.65 = 5,414.73/x
  3. Step 3: Cross multiply
    8,242.32x = 11,379.65 × 5,414.73
  4. Step 4: Simplify right side
    8,242.32x = 61,617,732.24
  5. Step 5: Solve for x
    x = 61,617,732.24/8,242.32
  6. Step 6: Final answer
    x = 7,475.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.