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Finding the Fourth Proportional to 10,863.18, 16,294.90 and 3,467.60

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Solution

The fourth proportional to 10,863.18, 16,294.90 and 3,467.60 is: 5,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.18 : 16,294.90 = 3,467.60 : x
  2. Step 2: Convert to fraction form
    10,863.18/16,294.90 = 3,467.60/x
  3. Step 3: Cross multiply
    10,863.18x = 16,294.90 × 3,467.60
  4. Step 4: Simplify right side
    10,863.18x = 56,504,195.24
  5. Step 5: Solve for x
    x = 56,504,195.24/10,863.18
  6. Step 6: Final answer
    x = 5,201.44

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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.