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Finding the Fourth Proportional to 8,427.80, 12,640.07 and 2,582.84

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Solution

The fourth proportional to 8,427.80, 12,640.07 and 2,582.84 is: 3,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.80 : 12,640.07 = 2,582.84 : x
  2. Step 2: Convert to fraction form
    8,427.80/12,640.07 = 2,582.84/x
  3. Step 3: Cross multiply
    8,427.80x = 12,640.07 × 2,582.84
  4. Step 4: Simplify right side
    8,427.80x = 32,647,202.28
  5. Step 5: Solve for x
    x = 32,647,202.28/8,427.80
  6. Step 6: Final answer
    x = 3,873.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.