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Finding the Fourth Proportional to 10,489.82, 15,734.86 and 4,166.26

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Solution

The fourth proportional to 10,489.82, 15,734.86 and 4,166.26 is: 6,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.82 : 15,734.86 = 4,166.26 : x
  2. Step 2: Convert to fraction form
    10,489.82/15,734.86 = 4,166.26/x
  3. Step 3: Cross multiply
    10,489.82x = 15,734.86 × 4,166.26
  4. Step 4: Simplify right side
    10,489.82x = 65,555,517.82
  5. Step 5: Solve for x
    x = 65,555,517.82/10,489.82
  6. Step 6: Final answer
    x = 6,249.44

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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.