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Finding the Fourth Proportional to 6,835.50, 10,255.68 and 3,375.18

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Solution

The fourth proportional to 6,835.50, 10,255.68 and 3,375.18 is: 5,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.50 : 10,255.68 = 3,375.18 : x
  2. Step 2: Convert to fraction form
    6,835.50/10,255.68 = 3,375.18/x
  3. Step 3: Cross multiply
    6,835.50x = 10,255.68 × 3,375.18
  4. Step 4: Simplify right side
    6,835.50x = 34,614,766.02
  5. Step 5: Solve for x
    x = 34,614,766.02/6,835.50
  6. Step 6: Final answer
    x = 5,063.97

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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.