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Finding the Fourth Proportional to 8,408.22, 12,614.76 and 3,214.50

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Solution

The fourth proportional to 8,408.22, 12,614.76 and 3,214.50 is: 4,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.22 : 12,614.76 = 3,214.50 : x
  2. Step 2: Convert to fraction form
    8,408.22/12,614.76 = 3,214.50/x
  3. Step 3: Cross multiply
    8,408.22x = 12,614.76 × 3,214.50
  4. Step 4: Simplify right side
    8,408.22x = 40,550,146.02
  5. Step 5: Solve for x
    x = 40,550,146.02/8,408.22
  6. Step 6: Final answer
    x = 4,822.68

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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.