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Finding the Fourth Proportional to 6,906.87, 10,354.44 and 2,463.19

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Solution

The fourth proportional to 6,906.87, 10,354.44 and 2,463.19 is: 3,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.87 : 10,354.44 = 2,463.19 : x
  2. Step 2: Convert to fraction form
    6,906.87/10,354.44 = 2,463.19/x
  3. Step 3: Cross multiply
    6,906.87x = 10,354.44 × 2,463.19
  4. Step 4: Simplify right side
    6,906.87x = 25,504,990.04
  5. Step 5: Solve for x
    x = 25,504,990.04/6,906.87
  6. Step 6: Final answer
    x = 3,692.70

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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.