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Finding the Fourth Proportional to 8,209.44, 12,315.04 and 2,662.56

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Solution

The fourth proportional to 8,209.44, 12,315.04 and 2,662.56 is: 3,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.44 : 12,315.04 = 2,662.56 : x
  2. Step 2: Convert to fraction form
    8,209.44/12,315.04 = 2,662.56/x
  3. Step 3: Cross multiply
    8,209.44x = 12,315.04 × 2,662.56
  4. Step 4: Simplify right side
    8,209.44x = 32,789,532.90
  5. Step 5: Solve for x
    x = 32,789,532.90/8,209.44
  6. Step 6: Final answer
    x = 3,994.13

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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.