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Finding the Fourth Proportional to 8,311.27, 12,467.09 and 3,114.31

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Solution

The fourth proportional to 8,311.27, 12,467.09 and 3,114.31 is: 4,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.27 : 12,467.09 = 3,114.31 : x
  2. Step 2: Convert to fraction form
    8,311.27/12,467.09 = 3,114.31/x
  3. Step 3: Cross multiply
    8,311.27x = 12,467.09 × 3,114.31
  4. Step 4: Simplify right side
    8,311.27x = 38,826,383.06
  5. Step 5: Solve for x
    x = 38,826,383.06/8,311.27
  6. Step 6: Final answer
    x = 4,671.53

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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.