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Finding the Fourth Proportional to 7,466.52, 11,200.41 and 2,272.41

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Solution

The fourth proportional to 7,466.52, 11,200.41 and 2,272.41 is: 3,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.52 : 11,200.41 = 2,272.41 : x
  2. Step 2: Convert to fraction form
    7,466.52/11,200.41 = 2,272.41/x
  3. Step 3: Cross multiply
    7,466.52x = 11,200.41 × 2,272.41
  4. Step 4: Simplify right side
    7,466.52x = 25,451,923.69
  5. Step 5: Solve for x
    x = 25,451,923.69/7,466.52
  6. Step 6: Final answer
    x = 3,408.81

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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.