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Finding the Fourth Proportional to 8,361.04, 12,467.87 and 8,286.09

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Solution

The fourth proportional to 8,361.04, 12,467.87 and 8,286.09 is: 12,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.04 : 12,467.87 = 8,286.09 : x
  2. Step 2: Convert to fraction form
    8,361.04/12,467.87 = 8,286.09/x
  3. Step 3: Cross multiply
    8,361.04x = 12,467.87 × 8,286.09
  4. Step 4: Simplify right side
    8,361.04x = 103,309,851.50
  5. Step 5: Solve for x
    x = 103,309,851.50/8,361.04
  6. Step 6: Final answer
    x = 12,356.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.