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Finding the Fourth Proportional to 8,222.80, 12,335.28 and 2,677

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Solution

The fourth proportional to 8,222.80, 12,335.28 and 2,677 is: 4,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.80 : 12,335.28 = 2,677 : x
  2. Step 2: Convert to fraction form
    8,222.80/12,335.28 = 2,677/x
  3. Step 3: Cross multiply
    8,222.80x = 12,335.28 × 2,677
  4. Step 4: Simplify right side
    8,222.80x = 33,021,544.56
  5. Step 5: Solve for x
    x = 33,021,544.56/8,222.80
  6. Step 6: Final answer
    x = 4,015.85

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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.