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Finding the Fourth Proportional to 8,143.98, 12,217.80 and 3,464.22

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Solution

The fourth proportional to 8,143.98, 12,217.80 and 3,464.22 is: 5,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.98 : 12,217.80 = 3,464.22 : x
  2. Step 2: Convert to fraction form
    8,143.98/12,217.80 = 3,464.22/x
  3. Step 3: Cross multiply
    8,143.98x = 12,217.80 × 3,464.22
  4. Step 4: Simplify right side
    8,143.98x = 42,325,147.12
  5. Step 5: Solve for x
    x = 42,325,147.12/8,143.98
  6. Step 6: Final answer
    x = 5,197.11

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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.