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Finding the Fourth Proportional to 8,127.96, 12,191.90 and 2,861.75

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Solution

The fourth proportional to 8,127.96, 12,191.90 and 2,861.75 is: 4,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.96 : 12,191.90 = 2,861.75 : x
  2. Step 2: Convert to fraction form
    8,127.96/12,191.90 = 2,861.75/x
  3. Step 3: Cross multiply
    8,127.96x = 12,191.90 × 2,861.75
  4. Step 4: Simplify right side
    8,127.96x = 34,890,094.56
  5. Step 5: Solve for x
    x = 34,890,094.56/8,127.96
  6. Step 6: Final answer
    x = 4,292.60

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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.