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Finding the Fourth Proportional to 6,732.72, 10,092.36 and 3,221.76

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Solution

The fourth proportional to 6,732.72, 10,092.36 and 3,221.76 is: 4,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.72 : 10,092.36 = 3,221.76 : x
  2. Step 2: Convert to fraction form
    6,732.72/10,092.36 = 3,221.76/x
  3. Step 3: Cross multiply
    6,732.72x = 10,092.36 × 3,221.76
  4. Step 4: Simplify right side
    6,732.72x = 32,515,161.75
  5. Step 5: Solve for x
    x = 32,515,161.75/6,732.72
  6. Step 6: Final answer
    x = 4,829.42

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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.