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Finding the Fourth Proportional to 6,863.64, 10,295.22 and 2,912.36

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Solution

The fourth proportional to 6,863.64, 10,295.22 and 2,912.36 is: 4,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.64 : 10,295.22 = 2,912.36 : x
  2. Step 2: Convert to fraction form
    6,863.64/10,295.22 = 2,912.36/x
  3. Step 3: Cross multiply
    6,863.64x = 10,295.22 × 2,912.36
  4. Step 4: Simplify right side
    6,863.64x = 29,983,335.44
  5. Step 5: Solve for x
    x = 29,983,335.44/6,863.64
  6. Step 6: Final answer
    x = 4,368.43

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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.