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Finding the Fourth Proportional to 6,857.44, 10,286.16 and 2,474.82

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Solution

The fourth proportional to 6,857.44, 10,286.16 and 2,474.82 is: 3,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.44 : 10,286.16 = 2,474.82 : x
  2. Step 2: Convert to fraction form
    6,857.44/10,286.16 = 2,474.82/x
  3. Step 3: Cross multiply
    6,857.44x = 10,286.16 × 2,474.82
  4. Step 4: Simplify right side
    6,857.44x = 25,456,394.49
  5. Step 5: Solve for x
    x = 25,456,394.49/6,857.44
  6. Step 6: Final answer
    x = 3,712.23

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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.