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Finding the Fourth Proportional to 8,564.63, 12,849.10 and 2,408.63

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Solution

The fourth proportional to 8,564.63, 12,849.10 and 2,408.63 is: 3,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.63 : 12,849.10 = 2,408.63 : x
  2. Step 2: Convert to fraction form
    8,564.63/12,849.10 = 2,408.63/x
  3. Step 3: Cross multiply
    8,564.63x = 12,849.10 × 2,408.63
  4. Step 4: Simplify right side
    8,564.63x = 30,948,727.73
  5. Step 5: Solve for x
    x = 30,948,727.73/8,564.63
  6. Step 6: Final answer
    x = 3,613.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.