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Finding the Fourth Proportional to 7,375.74, 11,057.13 and 2,761.98

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Solution

The fourth proportional to 7,375.74, 11,057.13 and 2,761.98 is: 4,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.74 : 11,057.13 = 2,761.98 : x
  2. Step 2: Convert to fraction form
    7,375.74/11,057.13 = 2,761.98/x
  3. Step 3: Cross multiply
    7,375.74x = 11,057.13 × 2,761.98
  4. Step 4: Simplify right side
    7,375.74x = 30,539,571.92
  5. Step 5: Solve for x
    x = 30,539,571.92/7,375.74
  6. Step 6: Final answer
    x = 4,140.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.