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Finding the Fourth Proportional to 7,542.76, 11,299 and 3,844.84

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Solution

The fourth proportional to 7,542.76, 11,299 and 3,844.84 is: 5,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.76 : 11,299 = 3,844.84 : x
  2. Step 2: Convert to fraction form
    7,542.76/11,299 = 3,844.84/x
  3. Step 3: Cross multiply
    7,542.76x = 11,299 × 3,844.84
  4. Step 4: Simplify right side
    7,542.76x = 43,442,847.16
  5. Step 5: Solve for x
    x = 43,442,847.16/7,542.76
  6. Step 6: Final answer
    x = 5,759.54

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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.