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Finding the Fourth Proportional to 6,825.89, 10,241.26 and 3,906.65

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Solution

The fourth proportional to 6,825.89, 10,241.26 and 3,906.65 is: 5,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.89 : 10,241.26 = 3,906.65 : x
  2. Step 2: Convert to fraction form
    6,825.89/10,241.26 = 3,906.65/x
  3. Step 3: Cross multiply
    6,825.89x = 10,241.26 × 3,906.65
  4. Step 4: Simplify right side
    6,825.89x = 40,008,998.85
  5. Step 5: Solve for x
    x = 40,008,998.85/6,825.89
  6. Step 6: Final answer
    x = 5,861.36

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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.