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Finding the Fourth Proportional to 8,144.42, 12,218.28 and 3,464.42

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Solution

The fourth proportional to 8,144.42, 12,218.28 and 3,464.42 is: 5,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.42 : 12,218.28 = 3,464.42 : x
  2. Step 2: Convert to fraction form
    8,144.42/12,218.28 = 3,464.42/x
  3. Step 3: Cross multiply
    8,144.42x = 12,218.28 × 3,464.42
  4. Step 4: Simplify right side
    8,144.42x = 42,329,253.60
  5. Step 5: Solve for x
    x = 42,329,253.60/8,144.42
  6. Step 6: Final answer
    x = 5,197.33

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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.