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Finding the Fourth Proportional to 6,713.52, 10,066.20 and 5,726.85

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Solution

The fourth proportional to 6,713.52, 10,066.20 and 5,726.85 is: 8,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.52 : 10,066.20 = 5,726.85 : x
  2. Step 2: Convert to fraction form
    6,713.52/10,066.20 = 5,726.85/x
  3. Step 3: Cross multiply
    6,713.52x = 10,066.20 × 5,726.85
  4. Step 4: Simplify right side
    6,713.52x = 57,647,617.47
  5. Step 5: Solve for x
    x = 57,647,617.47/6,713.52
  6. Step 6: Final answer
    x = 8,586.79

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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.