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Finding the Fourth Proportional to 7,847, 11,774.82 and 3,743

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Solution

The fourth proportional to 7,847, 11,774.82 and 3,743 is: 5,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847 : 11,774.82 = 3,743 : x
  2. Step 2: Convert to fraction form
    7,847/11,774.82 = 3,743/x
  3. Step 3: Cross multiply
    7,847x = 11,774.82 × 3,743
  4. Step 4: Simplify right side
    7,847x = 44,073,151.26
  5. Step 5: Solve for x
    x = 44,073,151.26/7,847
  6. Step 6: Final answer
    x = 5,616.56

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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.