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Finding the Fourth Proportional to 7,842.44, 11,757.38 and 4,092.34

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Solution

The fourth proportional to 7,842.44, 11,757.38 and 4,092.34 is: 6,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.44 : 11,757.38 = 4,092.34 : x
  2. Step 2: Convert to fraction form
    7,842.44/11,757.38 = 4,092.34/x
  3. Step 3: Cross multiply
    7,842.44x = 11,757.38 × 4,092.34
  4. Step 4: Simplify right side
    7,842.44x = 48,115,137.68
  5. Step 5: Solve for x
    x = 48,115,137.68/7,842.44
  6. Step 6: Final answer
    x = 6,135.23

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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.