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Finding the Fourth Proportional to 8,408.63, 12,614.33 and 2,563.88

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Solution

The fourth proportional to 8,408.63, 12,614.33 and 2,563.88 is: 3,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.63 : 12,614.33 = 2,563.88 : x
  2. Step 2: Convert to fraction form
    8,408.63/12,614.33 = 2,563.88/x
  3. Step 3: Cross multiply
    8,408.63x = 12,614.33 × 2,563.88
  4. Step 4: Simplify right side
    8,408.63x = 32,341,571.74
  5. Step 5: Solve for x
    x = 32,341,571.74/8,408.63
  6. Step 6: Final answer
    x = 3,846.23

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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.