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Finding the Fourth Proportional to 8,244, 11,376.72 and 4,517.92

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Solution

The fourth proportional to 8,244, 11,376.72 and 4,517.92 is: 6,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244 : 11,376.72 = 4,517.92 : x
  2. Step 2: Convert to fraction form
    8,244/11,376.72 = 4,517.92/x
  3. Step 3: Cross multiply
    8,244x = 11,376.72 × 4,517.92
  4. Step 4: Simplify right side
    8,244x = 51,399,110.82
  5. Step 5: Solve for x
    x = 51,399,110.82/8,244
  6. Step 6: Final answer
    x = 6,234.73

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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.