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Finding the Fourth Proportional to 7,793.73, 11,690.24 and 2,863.01

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Solution

The fourth proportional to 7,793.73, 11,690.24 and 2,863.01 is: 4,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.73 : 11,690.24 = 2,863.01 : x
  2. Step 2: Convert to fraction form
    7,793.73/11,690.24 = 2,863.01/x
  3. Step 3: Cross multiply
    7,793.73x = 11,690.24 × 2,863.01
  4. Step 4: Simplify right side
    7,793.73x = 33,469,261.76
  5. Step 5: Solve for x
    x = 33,469,261.76/7,793.73
  6. Step 6: Final answer
    x = 4,294.38

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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.