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Finding the Fourth Proportional to 7,131.37, 10,691.28 and 2,974.49

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Solution

The fourth proportional to 7,131.37, 10,691.28 and 2,974.49 is: 4,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.37 : 10,691.28 = 2,974.49 : x
  2. Step 2: Convert to fraction form
    7,131.37/10,691.28 = 2,974.49/x
  3. Step 3: Cross multiply
    7,131.37x = 10,691.28 × 2,974.49
  4. Step 4: Simplify right side
    7,131.37x = 31,801,105.45
  5. Step 5: Solve for x
    x = 31,801,105.45/7,131.37
  6. Step 6: Final answer
    x = 4,459.33

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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.