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Finding the Fourth Proportional to 8,137, 12,206.02 and 2,665

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Solution

The fourth proportional to 8,137, 12,206.02 and 2,665 is: 3,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137 : 12,206.02 = 2,665 : x
  2. Step 2: Convert to fraction form
    8,137/12,206.02 = 2,665/x
  3. Step 3: Cross multiply
    8,137x = 12,206.02 × 2,665
  4. Step 4: Simplify right side
    8,137x = 32,529,043.30
  5. Step 5: Solve for x
    x = 32,529,043.30/8,137
  6. Step 6: Final answer
    x = 3,997.67

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