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Finding the Fourth Proportional to 6,761.97, 10,142.96 and 3,296.25

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Solution

The fourth proportional to 6,761.97, 10,142.96 and 3,296.25 is: 4,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.97 : 10,142.96 = 3,296.25 : x
  2. Step 2: Convert to fraction form
    6,761.97/10,142.96 = 3,296.25/x
  3. Step 3: Cross multiply
    6,761.97x = 10,142.96 × 3,296.25
  4. Step 4: Simplify right side
    6,761.97x = 33,433,715.42
  5. Step 5: Solve for x
    x = 33,433,715.42/6,761.97
  6. Step 6: Final answer
    x = 4,944.38

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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.