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Finding the Fourth Proportional to 6,856.84, 10,286.42 and 2,694.65

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Solution

The fourth proportional to 6,856.84, 10,286.42 and 2,694.65 is: 4,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.84 : 10,286.42 = 2,694.65 : x
  2. Step 2: Convert to fraction form
    6,856.84/10,286.42 = 2,694.65/x
  3. Step 3: Cross multiply
    6,856.84x = 10,286.42 × 2,694.65
  4. Step 4: Simplify right side
    6,856.84x = 27,718,236.75
  5. Step 5: Solve for x
    x = 27,718,236.75/6,856.84
  6. Step 6: Final answer
    x = 4,042.42

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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.