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Finding the Fourth Proportional to 8,029.20, 12,034.20 and 4,131.60

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Solution

The fourth proportional to 8,029.20, 12,034.20 and 4,131.60 is: 6,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.20 : 12,034.20 = 4,131.60 : x
  2. Step 2: Convert to fraction form
    8,029.20/12,034.20 = 4,131.60/x
  3. Step 3: Cross multiply
    8,029.20x = 12,034.20 × 4,131.60
  4. Step 4: Simplify right side
    8,029.20x = 49,720,500.72
  5. Step 5: Solve for x
    x = 49,720,500.72/8,029.20
  6. Step 6: Final answer
    x = 6,192.46

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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.