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Finding the Fourth Proportional to 26,704.60, 40,057.03 and 6,983.20

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Solution

The fourth proportional to 26,704.60, 40,057.03 and 6,983.20 is: 10,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,704.60 : 40,057.03 = 6,983.20 : x
  2. Step 2: Convert to fraction form
    26,704.60/40,057.03 = 6,983.20/x
  3. Step 3: Cross multiply
    26,704.60x = 40,057.03 × 6,983.20
  4. Step 4: Simplify right side
    26,704.60x = 279,726,160.48
  5. Step 5: Solve for x
    x = 279,726,160.48/26,704.60
  6. Step 6: Final answer
    x = 10,474.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.