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Finding the Fourth Proportional to 10,906.80, 16,361.40 and 3,982.80

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Solution

The fourth proportional to 10,906.80, 16,361.40 and 3,982.80 is: 5,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.80 : 16,361.40 = 3,982.80 : x
  2. Step 2: Convert to fraction form
    10,906.80/16,361.40 = 3,982.80/x
  3. Step 3: Cross multiply
    10,906.80x = 16,361.40 × 3,982.80
  4. Step 4: Simplify right side
    10,906.80x = 65,164,183.92
  5. Step 5: Solve for x
    x = 65,164,183.92/10,906.80
  6. Step 6: Final answer
    x = 5,974.64

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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.