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Finding the Fourth Proportional to 7,171.67, 10,755.07 and 2,728.28

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Solution

The fourth proportional to 7,171.67, 10,755.07 and 2,728.28 is: 4,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.67 : 10,755.07 = 2,728.28 : x
  2. Step 2: Convert to fraction form
    7,171.67/10,755.07 = 2,728.28/x
  3. Step 3: Cross multiply
    7,171.67x = 10,755.07 × 2,728.28
  4. Step 4: Simplify right side
    7,171.67x = 29,342,781.78
  5. Step 5: Solve for x
    x = 29,342,781.78/7,171.67
  6. Step 6: Final answer
    x = 4,091.49

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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.