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Finding the Fourth Proportional to 6,728.68, 10,086.23 and 4,231.65

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Solution

The fourth proportional to 6,728.68, 10,086.23 and 4,231.65 is: 6,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.68 : 10,086.23 = 4,231.65 : x
  2. Step 2: Convert to fraction form
    6,728.68/10,086.23 = 4,231.65/x
  3. Step 3: Cross multiply
    6,728.68x = 10,086.23 × 4,231.65
  4. Step 4: Simplify right side
    6,728.68x = 42,681,375.25
  5. Step 5: Solve for x
    x = 42,681,375.25/6,728.68
  6. Step 6: Final answer
    x = 6,343.20

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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.