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Finding the Fourth Proportional to 7,582.73, 11,375.28 and 3,200.82

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Solution

The fourth proportional to 7,582.73, 11,375.28 and 3,200.82 is: 4,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.73 : 11,375.28 = 3,200.82 : x
  2. Step 2: Convert to fraction form
    7,582.73/11,375.28 = 3,200.82/x
  3. Step 3: Cross multiply
    7,582.73x = 11,375.28 × 3,200.82
  4. Step 4: Simplify right side
    7,582.73x = 36,410,223.73
  5. Step 5: Solve for x
    x = 36,410,223.73/7,582.73
  6. Step 6: Final answer
    x = 4,801.73

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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.