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Finding the Fourth Proportional to 6,906.39, 10,353.38 and 2,520.78

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Solution

The fourth proportional to 6,906.39, 10,353.38 and 2,520.78 is: 3,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.39 : 10,353.38 = 2,520.78 : x
  2. Step 2: Convert to fraction form
    6,906.39/10,353.38 = 2,520.78/x
  3. Step 3: Cross multiply
    6,906.39x = 10,353.38 × 2,520.78
  4. Step 4: Simplify right side
    6,906.39x = 26,098,580.63
  5. Step 5: Solve for x
    x = 26,098,580.63/6,906.39
  6. Step 6: Final answer
    x = 3,778.90

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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.