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Finding the Fourth Proportional to 6,713.12, 10,069.48 and 3,937.66

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Solution

The fourth proportional to 6,713.12, 10,069.48 and 3,937.66 is: 5,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.12 : 10,069.48 = 3,937.66 : x
  2. Step 2: Convert to fraction form
    6,713.12/10,069.48 = 3,937.66/x
  3. Step 3: Cross multiply
    6,713.12x = 10,069.48 × 3,937.66
  4. Step 4: Simplify right side
    6,713.12x = 39,650,188.62
  5. Step 5: Solve for x
    x = 39,650,188.62/6,713.12
  6. Step 6: Final answer
    x = 5,906.37

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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.