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Finding the Fourth Proportional to 7,998.50, 11,996.84 and 2,155.57

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Solution

The fourth proportional to 7,998.50, 11,996.84 and 2,155.57 is: 3,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.50 : 11,996.84 = 2,155.57 : x
  2. Step 2: Convert to fraction form
    7,998.50/11,996.84 = 2,155.57/x
  3. Step 3: Cross multiply
    7,998.50x = 11,996.84 × 2,155.57
  4. Step 4: Simplify right side
    7,998.50x = 25,860,003.80
  5. Step 5: Solve for x
    x = 25,860,003.80/7,998.50
  6. Step 6: Final answer
    x = 3,233.11

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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.