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Finding the Fourth Proportional to 8,164.80, 12,239.79 and 2,967

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Solution

The fourth proportional to 8,164.80, 12,239.79 and 2,967 is: 4,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.80 : 12,239.79 = 2,967 : x
  2. Step 2: Convert to fraction form
    8,164.80/12,239.79 = 2,967/x
  3. Step 3: Cross multiply
    8,164.80x = 12,239.79 × 2,967
  4. Step 4: Simplify right side
    8,164.80x = 36,315,456.93
  5. Step 5: Solve for x
    x = 36,315,456.93/8,164.80
  6. Step 6: Final answer
    x = 4,447.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.