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Finding the Fourth Proportional to 11,882.44, 16,398.36 and 6,847.48

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Solution

The fourth proportional to 11,882.44, 16,398.36 and 6,847.48 is: 9,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.44 : 16,398.36 = 6,847.48 : x
  2. Step 2: Convert to fraction form
    11,882.44/16,398.36 = 6,847.48/x
  3. Step 3: Cross multiply
    11,882.44x = 16,398.36 × 6,847.48
  4. Step 4: Simplify right side
    11,882.44x = 112,287,442.13
  5. Step 5: Solve for x
    x = 112,287,442.13/11,882.44
  6. Step 6: Final answer
    x = 9,449.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.