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Finding the Fourth Proportional to 7,993.50, 11,991.60 and 2,727.96

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Solution

The fourth proportional to 7,993.50, 11,991.60 and 2,727.96 is: 4,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.50 : 11,991.60 = 2,727.96 : x
  2. Step 2: Convert to fraction form
    7,993.50/11,991.60 = 2,727.96/x
  3. Step 3: Cross multiply
    7,993.50x = 11,991.60 × 2,727.96
  4. Step 4: Simplify right side
    7,993.50x = 32,712,605.14
  5. Step 5: Solve for x
    x = 32,712,605.14/7,993.50
  6. Step 6: Final answer
    x = 4,092.40

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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.