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Finding the Fourth Proportional to 8,262.60, 12,398.44 and 3,582.64

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Solution

The fourth proportional to 8,262.60, 12,398.44 and 3,582.64 is: 5,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.60 : 12,398.44 = 3,582.64 : x
  2. Step 2: Convert to fraction form
    8,262.60/12,398.44 = 3,582.64/x
  3. Step 3: Cross multiply
    8,262.60x = 12,398.44 × 3,582.64
  4. Step 4: Simplify right side
    8,262.60x = 44,419,147.08
  5. Step 5: Solve for x
    x = 44,419,147.08/8,262.60
  6. Step 6: Final answer
    x = 5,375.93

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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.