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Finding the Fourth Proportional to 6,856.20, 10,283.22 and 2,471.40

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Solution

The fourth proportional to 6,856.20, 10,283.22 and 2,471.40 is: 3,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.20 : 10,283.22 = 2,471.40 : x
  2. Step 2: Convert to fraction form
    6,856.20/10,283.22 = 2,471.40/x
  3. Step 3: Cross multiply
    6,856.20x = 10,283.22 × 2,471.40
  4. Step 4: Simplify right side
    6,856.20x = 25,413,949.91
  5. Step 5: Solve for x
    x = 25,413,949.91/6,856.20
  6. Step 6: Final answer
    x = 3,706.71

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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.