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Finding the Fourth Proportional to 8,234.44, 12,353.04 and 2,686.20

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Solution

The fourth proportional to 8,234.44, 12,353.04 and 2,686.20 is: 4,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.44 : 12,353.04 = 2,686.20 : x
  2. Step 2: Convert to fraction form
    8,234.44/12,353.04 = 2,686.20/x
  3. Step 3: Cross multiply
    8,234.44x = 12,353.04 × 2,686.20
  4. Step 4: Simplify right side
    8,234.44x = 33,182,736.05
  5. Step 5: Solve for x
    x = 33,182,736.05/8,234.44
  6. Step 6: Final answer
    x = 4,029.75

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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.