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Finding the Fourth Proportional to 10,091.37, 13,924.89 and 5,843.78

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Solution

The fourth proportional to 10,091.37, 13,924.89 and 5,843.78 is: 8,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.37 : 13,924.89 = 5,843.78 : x
  2. Step 2: Convert to fraction form
    10,091.37/13,924.89 = 5,843.78/x
  3. Step 3: Cross multiply
    10,091.37x = 13,924.89 × 5,843.78
  4. Step 4: Simplify right side
    10,091.37x = 81,373,924.06
  5. Step 5: Solve for x
    x = 81,373,924.06/10,091.37
  6. Step 6: Final answer
    x = 8,063.71

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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.