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Finding the Fourth Proportional to 6,781.32, 10,171.98 and 4,694.76

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Solution

The fourth proportional to 6,781.32, 10,171.98 and 4,694.76 is: 7,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.32 : 10,171.98 = 4,694.76 : x
  2. Step 2: Convert to fraction form
    6,781.32/10,171.98 = 4,694.76/x
  3. Step 3: Cross multiply
    6,781.32x = 10,171.98 × 4,694.76
  4. Step 4: Simplify right side
    6,781.32x = 47,755,004.82
  5. Step 5: Solve for x
    x = 47,755,004.82/6,781.32
  6. Step 6: Final answer
    x = 7,042.14

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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.