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Finding the Fourth Proportional to 8,000.50, 11,999.94 and 2,157.70

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Solution

The fourth proportional to 8,000.50, 11,999.94 and 2,157.70 is: 3,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.50 : 11,999.94 = 2,157.70 : x
  2. Step 2: Convert to fraction form
    8,000.50/11,999.94 = 2,157.70/x
  3. Step 3: Cross multiply
    8,000.50x = 11,999.94 × 2,157.70
  4. Step 4: Simplify right side
    8,000.50x = 25,892,270.54
  5. Step 5: Solve for x
    x = 25,892,270.54/8,000.50
  6. Step 6: Final answer
    x = 3,236.33

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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.