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Finding the Fourth Proportional to 8,279.85, 12,418.91 and 2,734.09

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Solution

The fourth proportional to 8,279.85, 12,418.91 and 2,734.09 is: 4,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.85 : 12,418.91 = 2,734.09 : x
  2. Step 2: Convert to fraction form
    8,279.85/12,418.91 = 2,734.09/x
  3. Step 3: Cross multiply
    8,279.85x = 12,418.91 × 2,734.09
  4. Step 4: Simplify right side
    8,279.85x = 33,954,449.03
  5. Step 5: Solve for x
    x = 33,954,449.03/8,279.85
  6. Step 6: Final answer
    x = 4,100.86

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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.