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Finding the Fourth Proportional to 7,793.31, 11,678.56 and 3,843.39

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Solution

The fourth proportional to 7,793.31, 11,678.56 and 3,843.39 is: 5,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.31 : 11,678.56 = 3,843.39 : x
  2. Step 2: Convert to fraction form
    7,793.31/11,678.56 = 3,843.39/x
  3. Step 3: Cross multiply
    7,793.31x = 11,678.56 × 3,843.39
  4. Step 4: Simplify right side
    7,793.31x = 44,885,260.72
  5. Step 5: Solve for x
    x = 44,885,260.72/7,793.31
  6. Step 6: Final answer
    x = 5,759.46

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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.