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Finding the Fourth Proportional to 8,049.35, 12,073.62 and 2,782.73

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Solution

The fourth proportional to 8,049.35, 12,073.62 and 2,782.73 is: 4,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.35 : 12,073.62 = 2,782.73 : x
  2. Step 2: Convert to fraction form
    8,049.35/12,073.62 = 2,782.73/x
  3. Step 3: Cross multiply
    8,049.35x = 12,073.62 × 2,782.73
  4. Step 4: Simplify right side
    8,049.35x = 33,597,624.58
  5. Step 5: Solve for x
    x = 33,597,624.58/8,049.35
  6. Step 6: Final answer
    x = 4,173.95

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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.