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Finding the Fourth Proportional to 10,881.48, 15,020.82 and 8,229.48

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Solution

The fourth proportional to 10,881.48, 15,020.82 and 8,229.48 is: 11,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.48 : 15,020.82 = 8,229.48 : x
  2. Step 2: Convert to fraction form
    10,881.48/15,020.82 = 8,229.48/x
  3. Step 3: Cross multiply
    10,881.48x = 15,020.82 × 8,229.48
  4. Step 4: Simplify right side
    10,881.48x = 123,613,537.77
  5. Step 5: Solve for x
    x = 123,613,537.77/10,881.48
  6. Step 6: Final answer
    x = 11,359.99

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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.