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Finding the Fourth Proportional to 7,441, 11,163.12 and 2,824

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Solution

The fourth proportional to 7,441, 11,163.12 and 2,824 is: 4,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441 : 11,163.12 = 2,824 : x
  2. Step 2: Convert to fraction form
    7,441/11,163.12 = 2,824/x
  3. Step 3: Cross multiply
    7,441x = 11,163.12 × 2,824
  4. Step 4: Simplify right side
    7,441x = 31,524,650.88
  5. Step 5: Solve for x
    x = 31,524,650.88/7,441
  6. Step 6: Final answer
    x = 4,236.61

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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.