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Finding the Fourth Proportional to 8,165, 12,247.56 and 2,009

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Solution

The fourth proportional to 8,165, 12,247.56 and 2,009 is: 3,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165 : 12,247.56 = 2,009 : x
  2. Step 2: Convert to fraction form
    8,165/12,247.56 = 2,009/x
  3. Step 3: Cross multiply
    8,165x = 12,247.56 × 2,009
  4. Step 4: Simplify right side
    8,165x = 24,605,348.04
  5. Step 5: Solve for x
    x = 24,605,348.04/8,165
  6. Step 6: Final answer
    x = 3,013.51

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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.