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Finding the Fourth Proportional to 8,532.41, 12,793.14 and 4,147.47

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Solution

The fourth proportional to 8,532.41, 12,793.14 and 4,147.47 is: 6,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.41 : 12,793.14 = 4,147.47 : x
  2. Step 2: Convert to fraction form
    8,532.41/12,793.14 = 4,147.47/x
  3. Step 3: Cross multiply
    8,532.41x = 12,793.14 × 4,147.47
  4. Step 4: Simplify right side
    8,532.41x = 53,059,164.36
  5. Step 5: Solve for x
    x = 53,059,164.36/8,532.41
  6. Step 6: Final answer
    x = 6,218.55

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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.