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Finding the Fourth Proportional to 11,843.86, 16,340.37 and 7,062.58

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Solution

The fourth proportional to 11,843.86, 16,340.37 and 7,062.58 is: 9,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.86 : 16,340.37 = 7,062.58 : x
  2. Step 2: Convert to fraction form
    11,843.86/16,340.37 = 7,062.58/x
  3. Step 3: Cross multiply
    11,843.86x = 16,340.37 × 7,062.58
  4. Step 4: Simplify right side
    11,843.86x = 115,405,170.35
  5. Step 5: Solve for x
    x = 115,405,170.35/11,843.86
  6. Step 6: Final answer
    x = 9,743.88

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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.