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Finding the Fourth Proportional to 6,728.68, 10,086.48 and 2,567.52

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Solution

The fourth proportional to 6,728.68, 10,086.48 and 2,567.52 is: 3,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.68 : 10,086.48 = 2,567.52 : x
  2. Step 2: Convert to fraction form
    6,728.68/10,086.48 = 2,567.52/x
  3. Step 3: Cross multiply
    6,728.68x = 10,086.48 × 2,567.52
  4. Step 4: Simplify right side
    6,728.68x = 25,897,239.13
  5. Step 5: Solve for x
    x = 25,897,239.13/6,728.68
  6. Step 6: Final answer
    x = 3,848.78

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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.