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Finding the Fourth Proportional to 6,780.38, 10,171.17 and 2,163.38

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Solution

The fourth proportional to 6,780.38, 10,171.17 and 2,163.38 is: 3,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.38 : 10,171.17 = 2,163.38 : x
  2. Step 2: Convert to fraction form
    6,780.38/10,171.17 = 2,163.38/x
  3. Step 3: Cross multiply
    6,780.38x = 10,171.17 × 2,163.38
  4. Step 4: Simplify right side
    6,780.38x = 22,004,054.90
  5. Step 5: Solve for x
    x = 22,004,054.90/6,780.38
  6. Step 6: Final answer
    x = 3,245.26

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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.