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Finding the Fourth Proportional to 11,843.96, 17,768.97 and 3,523.91

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Solution

The fourth proportional to 11,843.96, 17,768.97 and 3,523.91 is: 5,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.96 : 17,768.97 = 3,523.91 : x
  2. Step 2: Convert to fraction form
    11,843.96/17,768.97 = 3,523.91/x
  3. Step 3: Cross multiply
    11,843.96x = 17,768.97 × 3,523.91
  4. Step 4: Simplify right side
    11,843.96x = 62,616,162.23
  5. Step 5: Solve for x
    x = 62,616,162.23/11,843.96
  6. Step 6: Final answer
    x = 5,286.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.