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Finding the Fourth Proportional to 7,582.66, 11,375.20 and 3,200.76

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Solution

The fourth proportional to 7,582.66, 11,375.20 and 3,200.76 is: 4,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.66 : 11,375.20 = 3,200.76 : x
  2. Step 2: Convert to fraction form
    7,582.66/11,375.20 = 3,200.76/x
  3. Step 3: Cross multiply
    7,582.66x = 11,375.20 × 3,200.76
  4. Step 4: Simplify right side
    7,582.66x = 36,409,269.15
  5. Step 5: Solve for x
    x = 36,409,269.15/7,582.66
  6. Step 6: Final answer
    x = 4,801.65

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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.