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Finding the Fourth Proportional to 11,866.74, 17,800.92 and 4,081.02

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Solution

The fourth proportional to 11,866.74, 17,800.92 and 4,081.02 is: 6,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.74 : 17,800.92 = 4,081.02 : x
  2. Step 2: Convert to fraction form
    11,866.74/17,800.92 = 4,081.02/x
  3. Step 3: Cross multiply
    11,866.74x = 17,800.92 × 4,081.02
  4. Step 4: Simplify right side
    11,866.74x = 72,645,910.54
  5. Step 5: Solve for x
    x = 72,645,910.54/11,866.74
  6. Step 6: Final answer
    x = 6,121.81

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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.