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Finding the Fourth Proportional to 7,694.62, 11,542.49 and 2,764.29

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Solution

The fourth proportional to 7,694.62, 11,542.49 and 2,764.29 is: 4,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.62 : 11,542.49 = 2,764.29 : x
  2. Step 2: Convert to fraction form
    7,694.62/11,542.49 = 2,764.29/x
  3. Step 3: Cross multiply
    7,694.62x = 11,542.49 × 2,764.29
  4. Step 4: Simplify right side
    7,694.62x = 31,906,829.51
  5. Step 5: Solve for x
    x = 31,906,829.51/7,694.62
  6. Step 6: Final answer
    x = 4,146.64

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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.