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Finding the Fourth Proportional to 8,149.84, 12,222.67 and 3,467.43

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Solution

The fourth proportional to 8,149.84, 12,222.67 and 3,467.43 is: 5,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.84 : 12,222.67 = 3,467.43 : x
  2. Step 2: Convert to fraction form
    8,149.84/12,222.67 = 3,467.43/x
  3. Step 3: Cross multiply
    8,149.84x = 12,222.67 × 3,467.43
  4. Step 4: Simplify right side
    8,149.84x = 42,381,252.64
  5. Step 5: Solve for x
    x = 42,381,252.64/8,149.84
  6. Step 6: Final answer
    x = 5,200.26

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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.