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Finding the Fourth Proportional to 10,771.20, 16,156.80 and 8,179.20

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Solution

The fourth proportional to 10,771.20, 16,156.80 and 8,179.20 is: 12,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.20 : 16,156.80 = 8,179.20 : x
  2. Step 2: Convert to fraction form
    10,771.20/16,156.80 = 8,179.20/x
  3. Step 3: Cross multiply
    10,771.20x = 16,156.80 × 8,179.20
  4. Step 4: Simplify right side
    10,771.20x = 132,149,698.56
  5. Step 5: Solve for x
    x = 132,149,698.56/10,771.20
  6. Step 6: Final answer
    x = 12,268.80

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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.