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Finding the Fourth Proportional to 8,107.75, 12,167.09 and 3,176.77

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Solution

The fourth proportional to 8,107.75, 12,167.09 and 3,176.77 is: 4,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.75 : 12,167.09 = 3,176.77 : x
  2. Step 2: Convert to fraction form
    8,107.75/12,167.09 = 3,176.77/x
  3. Step 3: Cross multiply
    8,107.75x = 12,167.09 × 3,176.77
  4. Step 4: Simplify right side
    8,107.75x = 38,652,046.50
  5. Step 5: Solve for x
    x = 38,652,046.50/8,107.75
  6. Step 6: Final answer
    x = 4,767.30

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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.