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Finding the Fourth Proportional to 11,801.38, 16,277.52 and 7,763.33

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Solution

The fourth proportional to 11,801.38, 16,277.52 and 7,763.33 is: 10,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.38 : 16,277.52 = 7,763.33 : x
  2. Step 2: Convert to fraction form
    11,801.38/16,277.52 = 7,763.33/x
  3. Step 3: Cross multiply
    11,801.38x = 16,277.52 × 7,763.33
  4. Step 4: Simplify right side
    11,801.38x = 126,367,759.34
  5. Step 5: Solve for x
    x = 126,367,759.34/11,801.38
  6. Step 6: Final answer
    x = 10,707.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.