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Finding the Fourth Proportional to 6,857.61, 10,286.51 and 2,474.79

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Solution

The fourth proportional to 6,857.61, 10,286.51 and 2,474.79 is: 3,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.61 : 10,286.51 = 2,474.79 : x
  2. Step 2: Convert to fraction form
    6,857.61/10,286.51 = 2,474.79/x
  3. Step 3: Cross multiply
    6,857.61x = 10,286.51 × 2,474.79
  4. Step 4: Simplify right side
    6,857.61x = 25,456,939.71
  5. Step 5: Solve for x
    x = 25,456,939.71/6,857.61
  6. Step 6: Final answer
    x = 3,712.22

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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.