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Finding the Fourth Proportional to 6,759.20, 10,138.80 and 6,348.80

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Solution

The fourth proportional to 6,759.20, 10,138.80 and 6,348.80 is: 9,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.20 : 10,138.80 = 6,348.80 : x
  2. Step 2: Convert to fraction form
    6,759.20/10,138.80 = 6,348.80/x
  3. Step 3: Cross multiply
    6,759.20x = 10,138.80 × 6,348.80
  4. Step 4: Simplify right side
    6,759.20x = 64,369,213.44
  5. Step 5: Solve for x
    x = 64,369,213.44/6,759.20
  6. Step 6: Final answer
    x = 9,523.20

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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.