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Finding the Fourth Proportional to 6,822.39, 10,183.83 and 5,992.02

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Solution

The fourth proportional to 6,822.39, 10,183.83 and 5,992.02 is: 8,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.39 : 10,183.83 = 5,992.02 : x
  2. Step 2: Convert to fraction form
    6,822.39/10,183.83 = 5,992.02/x
  3. Step 3: Cross multiply
    6,822.39x = 10,183.83 × 5,992.02
  4. Step 4: Simplify right side
    6,822.39x = 61,021,713.04
  5. Step 5: Solve for x
    x = 61,021,713.04/6,822.39
  6. Step 6: Final answer
    x = 8,944.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.