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Finding the Fourth Proportional to 6,344.32, 8,757.62 and 5,680.02

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Solution

The fourth proportional to 6,344.32, 8,757.62 and 5,680.02 is: 7,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.32 : 8,757.62 = 5,680.02 : x
  2. Step 2: Convert to fraction form
    6,344.32/8,757.62 = 5,680.02/x
  3. Step 3: Cross multiply
    6,344.32x = 8,757.62 × 5,680.02
  4. Step 4: Simplify right side
    6,344.32x = 49,743,456.75
  5. Step 5: Solve for x
    x = 49,743,456.75/6,344.32
  6. Step 6: Final answer
    x = 7,840.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.