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Finding the Fourth Proportional to 8,469.52, 12,704.28 and 3,536.47

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Solution

The fourth proportional to 8,469.52, 12,704.28 and 3,536.47 is: 5,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.52 : 12,704.28 = 3,536.47 : x
  2. Step 2: Convert to fraction form
    8,469.52/12,704.28 = 3,536.47/x
  3. Step 3: Cross multiply
    8,469.52x = 12,704.28 × 3,536.47
  4. Step 4: Simplify right side
    8,469.52x = 44,928,305.09
  5. Step 5: Solve for x
    x = 44,928,305.09/8,469.52
  6. Step 6: Final answer
    x = 5,304.71

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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.