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Finding the Fourth Proportional to 10,993.01, 16,489.97 and 3,201.83

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Solution

The fourth proportional to 10,993.01, 16,489.97 and 3,201.83 is: 4,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.01 : 16,489.97 = 3,201.83 : x
  2. Step 2: Convert to fraction form
    10,993.01/16,489.97 = 3,201.83/x
  3. Step 3: Cross multiply
    10,993.01x = 16,489.97 × 3,201.83
  4. Step 4: Simplify right side
    10,993.01x = 52,797,982.19
  5. Step 5: Solve for x
    x = 52,797,982.19/10,993.01
  6. Step 6: Final answer
    x = 4,802.87

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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.