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Finding the Fourth Proportional to 8,324.72, 11,472.31 and 5,962.76

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Solution

The fourth proportional to 8,324.72, 11,472.31 and 5,962.76 is: 8,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.72 : 11,472.31 = 5,962.76 : x
  2. Step 2: Convert to fraction form
    8,324.72/11,472.31 = 5,962.76/x
  3. Step 3: Cross multiply
    8,324.72x = 11,472.31 × 5,962.76
  4. Step 4: Simplify right side
    8,324.72x = 68,406,631.18
  5. Step 5: Solve for x
    x = 68,406,631.18/8,324.72
  6. Step 6: Final answer
    x = 8,217.29

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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.