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Finding the Fourth Proportional to 8,180.82, 12,271.02 and 2,634.54

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Solution

The fourth proportional to 8,180.82, 12,271.02 and 2,634.54 is: 3,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.82 : 12,271.02 = 2,634.54 : x
  2. Step 2: Convert to fraction form
    8,180.82/12,271.02 = 2,634.54/x
  3. Step 3: Cross multiply
    8,180.82x = 12,271.02 × 2,634.54
  4. Step 4: Simplify right side
    8,180.82x = 32,328,493.03
  5. Step 5: Solve for x
    x = 32,328,493.03/8,180.82
  6. Step 6: Final answer
    x = 3,951.74

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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.