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Finding the Fourth Proportional to 8,137.50, 12,206.22 and 2,294.10

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Solution

The fourth proportional to 8,137.50, 12,206.22 and 2,294.10 is: 3,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.50 : 12,206.22 = 2,294.10 : x
  2. Step 2: Convert to fraction form
    8,137.50/12,206.22 = 2,294.10/x
  3. Step 3: Cross multiply
    8,137.50x = 12,206.22 × 2,294.10
  4. Step 4: Simplify right side
    8,137.50x = 28,002,289.30
  5. Step 5: Solve for x
    x = 28,002,289.30/8,137.50
  6. Step 6: Final answer
    x = 3,441.14

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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.