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Finding the Fourth Proportional to 6,850.87, 10,255.50 and 4,387.43

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Solution

The fourth proportional to 6,850.87, 10,255.50 and 4,387.43 is: 6,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.87 : 10,255.50 = 4,387.43 : x
  2. Step 2: Convert to fraction form
    6,850.87/10,255.50 = 4,387.43/x
  3. Step 3: Cross multiply
    6,850.87x = 10,255.50 × 4,387.43
  4. Step 4: Simplify right side
    6,850.87x = 44,995,249.43
  5. Step 5: Solve for x
    x = 44,995,249.43/6,850.87
  6. Step 6: Final answer
    x = 6,567.81

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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.