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Finding the Fourth Proportional to 6,686.92, 10,022.91 and 5,908.78

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Solution

The fourth proportional to 6,686.92, 10,022.91 and 5,908.78 is: 8,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.92 : 10,022.91 = 5,908.78 : x
  2. Step 2: Convert to fraction form
    6,686.92/10,022.91 = 5,908.78/x
  3. Step 3: Cross multiply
    6,686.92x = 10,022.91 × 5,908.78
  4. Step 4: Simplify right side
    6,686.92x = 59,223,170.15
  5. Step 5: Solve for x
    x = 59,223,170.15/6,686.92
  6. Step 6: Final answer
    x = 8,856.57

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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.