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Finding the Fourth Proportional to 11,840.33, 17,755.97 and 3,941.33

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Solution

The fourth proportional to 11,840.33, 17,755.97 and 3,941.33 is: 5,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.33 : 17,755.97 = 3,941.33 : x
  2. Step 2: Convert to fraction form
    11,840.33/17,755.97 = 3,941.33/x
  3. Step 3: Cross multiply
    11,840.33x = 17,755.97 × 3,941.33
  4. Step 4: Simplify right side
    11,840.33x = 69,982,028.75
  5. Step 5: Solve for x
    x = 69,982,028.75/11,840.33
  6. Step 6: Final answer
    x = 5,910.48

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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.