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Finding the Fourth Proportional to 8,198.21, 12,233.38 and 7,314.64

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Solution

The fourth proportional to 8,198.21, 12,233.38 and 7,314.64 is: 10,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.21 : 12,233.38 = 7,314.64 : x
  2. Step 2: Convert to fraction form
    8,198.21/12,233.38 = 7,314.64/x
  3. Step 3: Cross multiply
    8,198.21x = 12,233.38 × 7,314.64
  4. Step 4: Simplify right side
    8,198.21x = 89,482,790.57
  5. Step 5: Solve for x
    x = 89,482,790.57/8,198.21
  6. Step 6: Final answer
    x = 10,914.91

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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.