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Finding the Fourth Proportional to 10,771.92, 16,173.24 and 8,191.44

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Solution

The fourth proportional to 10,771.92, 16,173.24 and 8,191.44 is: 12,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.92 : 16,173.24 = 8,191.44 : x
  2. Step 2: Convert to fraction form
    10,771.92/16,173.24 = 8,191.44/x
  3. Step 3: Cross multiply
    10,771.92x = 16,173.24 × 8,191.44
  4. Step 4: Simplify right side
    10,771.92x = 132,482,125.07
  5. Step 5: Solve for x
    x = 132,482,125.07/10,771.92
  6. Step 6: Final answer
    x = 12,298.84

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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.