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Finding the Fourth Proportional to 7,698.39, 11,540.49 and 3,747.42

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Solution

The fourth proportional to 7,698.39, 11,540.49 and 3,747.42 is: 5,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.39 : 11,540.49 = 3,747.42 : x
  2. Step 2: Convert to fraction form
    7,698.39/11,540.49 = 3,747.42/x
  3. Step 3: Cross multiply
    7,698.39x = 11,540.49 × 3,747.42
  4. Step 4: Simplify right side
    7,698.39x = 43,247,063.04
  5. Step 5: Solve for x
    x = 43,247,063.04/7,698.39
  6. Step 6: Final answer
    x = 5,617.68

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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.