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Finding the Fourth Proportional to 6,825.39, 10,240.51 and 3,906.15

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Solution

The fourth proportional to 6,825.39, 10,240.51 and 3,906.15 is: 5,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.39 : 10,240.51 = 3,906.15 : x
  2. Step 2: Convert to fraction form
    6,825.39/10,240.51 = 3,906.15/x
  3. Step 3: Cross multiply
    6,825.39x = 10,240.51 × 3,906.15
  4. Step 4: Simplify right side
    6,825.39x = 40,000,948.61
  5. Step 5: Solve for x
    x = 40,000,948.61/6,825.39
  6. Step 6: Final answer
    x = 5,860.61

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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.