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Finding the Fourth Proportional to 7,844.54, 11,757.53 and 3,452.82

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Solution

The fourth proportional to 7,844.54, 11,757.53 and 3,452.82 is: 5,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.54 : 11,757.53 = 3,452.82 : x
  2. Step 2: Convert to fraction form
    7,844.54/11,757.53 = 3,452.82/x
  3. Step 3: Cross multiply
    7,844.54x = 11,757.53 × 3,452.82
  4. Step 4: Simplify right side
    7,844.54x = 40,596,634.73
  5. Step 5: Solve for x
    x = 40,596,634.73/7,844.54
  6. Step 6: Final answer
    x = 5,175.15

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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.