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Finding the Fourth Proportional to 11,865.27, 17,797.27 and 6,021.73

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Solution

The fourth proportional to 11,865.27, 17,797.27 and 6,021.73 is: 9,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.27 : 17,797.27 = 6,021.73 : x
  2. Step 2: Convert to fraction form
    11,865.27/17,797.27 = 6,021.73/x
  3. Step 3: Cross multiply
    11,865.27x = 17,797.27 × 6,021.73
  4. Step 4: Simplify right side
    11,865.27x = 107,170,354.68
  5. Step 5: Solve for x
    x = 107,170,354.68/11,865.27
  6. Step 6: Final answer
    x = 9,032.27

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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.