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Finding the Fourth Proportional to 11,843.74, 17,768.76 and 3,523.84

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Solution

The fourth proportional to 11,843.74, 17,768.76 and 3,523.84 is: 5,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.74 : 17,768.76 = 3,523.84 : x
  2. Step 2: Convert to fraction form
    11,843.74/17,768.76 = 3,523.84/x
  3. Step 3: Cross multiply
    11,843.74x = 17,768.76 × 3,523.84
  4. Step 4: Simplify right side
    11,843.74x = 62,614,267.24
  5. Step 5: Solve for x
    x = 62,614,267.24/11,843.74
  6. Step 6: Final answer
    x = 5,286.70

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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.