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Finding the Fourth Proportional to 8,049.38, 12,074.47 and 2,855.66

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Solution

The fourth proportional to 8,049.38, 12,074.47 and 2,855.66 is: 4,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.38 : 12,074.47 = 2,855.66 : x
  2. Step 2: Convert to fraction form
    8,049.38/12,074.47 = 2,855.66/x
  3. Step 3: Cross multiply
    8,049.38x = 12,074.47 × 2,855.66
  4. Step 4: Simplify right side
    8,049.38x = 34,480,513.49
  5. Step 5: Solve for x
    x = 34,480,513.49/8,049.38
  6. Step 6: Final answer
    x = 4,283.63

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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.