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Finding the Fourth Proportional to 11,842.38, 17,764.52 and 6,912.52

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Solution

The fourth proportional to 11,842.38, 17,764.52 and 6,912.52 is: 10,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.38 : 17,764.52 = 6,912.52 : x
  2. Step 2: Convert to fraction form
    11,842.38/17,764.52 = 6,912.52/x
  3. Step 3: Cross multiply
    11,842.38x = 17,764.52 × 6,912.52
  4. Step 4: Simplify right side
    11,842.38x = 122,797,520.82
  5. Step 5: Solve for x
    x = 122,797,520.82/11,842.38
  6. Step 6: Final answer
    x = 10,369.33

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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.