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Finding the Fourth Proportional to 8,408.44, 12,613.24 and 2,569.14

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Solution

The fourth proportional to 8,408.44, 12,613.24 and 2,569.14 is: 3,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.44 : 12,613.24 = 2,569.14 : x
  2. Step 2: Convert to fraction form
    8,408.44/12,613.24 = 2,569.14/x
  3. Step 3: Cross multiply
    8,408.44x = 12,613.24 × 2,569.14
  4. Step 4: Simplify right side
    8,408.44x = 32,405,179.41
  5. Step 5: Solve for x
    x = 32,405,179.41/8,408.44
  6. Step 6: Final answer
    x = 3,853.89

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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.