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Finding the Fourth Proportional to 8,144.09, 11,240.05 and 5,160.20

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Solution

The fourth proportional to 8,144.09, 11,240.05 and 5,160.20 is: 7,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.09 : 11,240.05 = 5,160.20 : x
  2. Step 2: Convert to fraction form
    8,144.09/11,240.05 = 5,160.20/x
  3. Step 3: Cross multiply
    8,144.09x = 11,240.05 × 5,160.20
  4. Step 4: Simplify right side
    8,144.09x = 58,000,940.56
  5. Step 5: Solve for x
    x = 58,000,940.56/8,144.09
  6. Step 6: Final answer
    x = 7,121.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.