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Finding the Fourth Proportional to 10,794.56, 16,193 and 3,399.24

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Solution

The fourth proportional to 10,794.56, 16,193 and 3,399.24 is: 5,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.56 : 16,193 = 3,399.24 : x
  2. Step 2: Convert to fraction form
    10,794.56/16,193 = 3,399.24/x
  3. Step 3: Cross multiply
    10,794.56x = 16,193 × 3,399.24
  4. Step 4: Simplify right side
    10,794.56x = 55,043,893.32
  5. Step 5: Solve for x
    x = 55,043,893.32/10,794.56
  6. Step 6: Final answer
    x = 5,099.23

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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.