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Finding the Fourth Proportional to 8,304, 12,456 and 2,832

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Solution

The fourth proportional to 8,304, 12,456 and 2,832 is: 4,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304 : 12,456 = 2,832 : x
  2. Step 2: Convert to fraction form
    8,304/12,456 = 2,832/x
  3. Step 3: Cross multiply
    8,304x = 12,456 × 2,832
  4. Step 4: Simplify right side
    8,304x = 35,275,392
  5. Step 5: Solve for x
    x = 35,275,392/8,304
  6. Step 6: Final answer
    x = 4,248

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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.