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Finding the Fourth Proportional to 11,387.97, 17,082.33 and 3,997.57

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Solution

The fourth proportional to 11,387.97, 17,082.33 and 3,997.57 is: 5,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.97 : 17,082.33 = 3,997.57 : x
  2. Step 2: Convert to fraction form
    11,387.97/17,082.33 = 3,997.57/x
  3. Step 3: Cross multiply
    11,387.97x = 17,082.33 × 3,997.57
  4. Step 4: Simplify right side
    11,387.97x = 68,287,809.94
  5. Step 5: Solve for x
    x = 68,287,809.94/11,387.97
  6. Step 6: Final answer
    x = 5,996.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.