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Finding the Fourth Proportional to 8,092.28, 12,144.96 and 4,197.80

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Solution

The fourth proportional to 8,092.28, 12,144.96 and 4,197.80 is: 6,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.28 : 12,144.96 = 4,197.80 : x
  2. Step 2: Convert to fraction form
    8,092.28/12,144.96 = 4,197.80/x
  3. Step 3: Cross multiply
    8,092.28x = 12,144.96 × 4,197.80
  4. Step 4: Simplify right side
    8,092.28x = 50,982,113.09
  5. Step 5: Solve for x
    x = 50,982,113.09/8,092.28
  6. Step 6: Final answer
    x = 6,300.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.