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Finding the Fourth Proportional to 6,863.28, 10,295.64 and 2,183.64

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Solution

The fourth proportional to 6,863.28, 10,295.64 and 2,183.64 is: 3,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.28 : 10,295.64 = 2,183.64 : x
  2. Step 2: Convert to fraction form
    6,863.28/10,295.64 = 2,183.64/x
  3. Step 3: Cross multiply
    6,863.28x = 10,295.64 × 2,183.64
  4. Step 4: Simplify right side
    6,863.28x = 22,481,971.33
  5. Step 5: Solve for x
    x = 22,481,971.33/6,863.28
  6. Step 6: Final answer
    x = 3,275.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.