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Finding the Fourth Proportional to 10,462.67, 15,694.13 and 3,067.28

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Solution

The fourth proportional to 10,462.67, 15,694.13 and 3,067.28 is: 4,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.67 : 15,694.13 = 3,067.28 : x
  2. Step 2: Convert to fraction form
    10,462.67/15,694.13 = 3,067.28/x
  3. Step 3: Cross multiply
    10,462.67x = 15,694.13 × 3,067.28
  4. Step 4: Simplify right side
    10,462.67x = 48,138,291.07
  5. Step 5: Solve for x
    x = 48,138,291.07/10,462.67
  6. Step 6: Final answer
    x = 4,600.96

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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.