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Finding the Fourth Proportional to 8,217.34, 12,331.46 and 3,023.22

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Solution

The fourth proportional to 8,217.34, 12,331.46 and 3,023.22 is: 4,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.34 : 12,331.46 = 3,023.22 : x
  2. Step 2: Convert to fraction form
    8,217.34/12,331.46 = 3,023.22/x
  3. Step 3: Cross multiply
    8,217.34x = 12,331.46 × 3,023.22
  4. Step 4: Simplify right side
    8,217.34x = 37,280,716.50
  5. Step 5: Solve for x
    x = 37,280,716.50/8,217.34
  6. Step 6: Final answer
    x = 4,536.84

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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.