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Finding the Fourth Proportional to 8,198.16, 11,313.57 and 4,660.69

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Solution

The fourth proportional to 8,198.16, 11,313.57 and 4,660.69 is: 6,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.16 : 11,313.57 = 4,660.69 : x
  2. Step 2: Convert to fraction form
    8,198.16/11,313.57 = 4,660.69/x
  3. Step 3: Cross multiply
    8,198.16x = 11,313.57 × 4,660.69
  4. Step 4: Simplify right side
    8,198.16x = 52,729,052.97
  5. Step 5: Solve for x
    x = 52,729,052.97/8,198.16
  6. Step 6: Final answer
    x = 6,431.81

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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.