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Finding the Fourth Proportional to 8,978, 13,467 and 2,822

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Solution

The fourth proportional to 8,978, 13,467 and 2,822 is: 4,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978 : 13,467 = 2,822 : x
  2. Step 2: Convert to fraction form
    8,978/13,467 = 2,822/x
  3. Step 3: Cross multiply
    8,978x = 13,467 × 2,822
  4. Step 4: Simplify right side
    8,978x = 38,003,874
  5. Step 5: Solve for x
    x = 38,003,874/8,978
  6. Step 6: Final answer
    x = 4,233

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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.