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Finding the Fourth Proportional to 8,052.93, 12,082.99 and 3,122.96

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Solution

The fourth proportional to 8,052.93, 12,082.99 and 3,122.96 is: 4,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.93 : 12,082.99 = 3,122.96 : x
  2. Step 2: Convert to fraction form
    8,052.93/12,082.99 = 3,122.96/x
  3. Step 3: Cross multiply
    8,052.93x = 12,082.99 × 3,122.96
  4. Step 4: Simplify right side
    8,052.93x = 37,734,634.04
  5. Step 5: Solve for x
    x = 37,734,634.04/8,052.93
  6. Step 6: Final answer
    x = 4,685.83

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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.