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Finding the Fourth Proportional to 7,582.72, 11,375.29 and 3,200.82

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Solution

The fourth proportional to 7,582.72, 11,375.29 and 3,200.82 is: 4,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.72 : 11,375.29 = 3,200.82 : x
  2. Step 2: Convert to fraction form
    7,582.72/11,375.29 = 3,200.82/x
  3. Step 3: Cross multiply
    7,582.72x = 11,375.29 × 3,200.82
  4. Step 4: Simplify right side
    7,582.72x = 36,410,255.74
  5. Step 5: Solve for x
    x = 36,410,255.74/7,582.72
  6. Step 6: Final answer
    x = 4,801.74

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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.