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Finding the Fourth Proportional to 7,997.50, 11,998.20 and 2,525.50

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Solution

The fourth proportional to 7,997.50, 11,998.20 and 2,525.50 is: 3,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.50 : 11,998.20 = 2,525.50 : x
  2. Step 2: Convert to fraction form
    7,997.50/11,998.20 = 2,525.50/x
  3. Step 3: Cross multiply
    7,997.50x = 11,998.20 × 2,525.50
  4. Step 4: Simplify right side
    7,997.50x = 30,301,454.10
  5. Step 5: Solve for x
    x = 30,301,454.10/7,997.50
  6. Step 6: Final answer
    x = 3,788.87

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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.