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Finding the Fourth Proportional to 8,523.24, 11,761.92 and 4,747.02

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Solution

The fourth proportional to 8,523.24, 11,761.92 and 4,747.02 is: 6,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.24 : 11,761.92 = 4,747.02 : x
  2. Step 2: Convert to fraction form
    8,523.24/11,761.92 = 4,747.02/x
  3. Step 3: Cross multiply
    8,523.24x = 11,761.92 × 4,747.02
  4. Step 4: Simplify right side
    8,523.24x = 55,834,069.48
  5. Step 5: Solve for x
    x = 55,834,069.48/8,523.24
  6. Step 6: Final answer
    x = 6,550.80

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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.