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Finding the Fourth Proportional to 6,755.88, 10,119.42 and 3,832.68

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Solution

The fourth proportional to 6,755.88, 10,119.42 and 3,832.68 is: 5,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.88 : 10,119.42 = 3,832.68 : x
  2. Step 2: Convert to fraction form
    6,755.88/10,119.42 = 3,832.68/x
  3. Step 3: Cross multiply
    6,755.88x = 10,119.42 × 3,832.68
  4. Step 4: Simplify right side
    6,755.88x = 38,784,498.65
  5. Step 5: Solve for x
    x = 38,784,498.65/6,755.88
  6. Step 6: Final answer
    x = 5,740.85

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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.