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Finding the Fourth Proportional to 8,100.75, 12,142.49 and 4,199.79

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Solution

The fourth proportional to 8,100.75, 12,142.49 and 4,199.79 is: 6,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.75 : 12,142.49 = 4,199.79 : x
  2. Step 2: Convert to fraction form
    8,100.75/12,142.49 = 4,199.79/x
  3. Step 3: Cross multiply
    8,100.75x = 12,142.49 × 4,199.79
  4. Step 4: Simplify right side
    8,100.75x = 50,995,887.08
  5. Step 5: Solve for x
    x = 50,995,887.08/8,100.75
  6. Step 6: Final answer
    x = 6,295.21

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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.