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Finding the Fourth Proportional to 8,662.28, 12,997.26 and 3,189

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Solution

The fourth proportional to 8,662.28, 12,997.26 and 3,189 is: 4,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.28 : 12,997.26 = 3,189 : x
  2. Step 2: Convert to fraction form
    8,662.28/12,997.26 = 3,189/x
  3. Step 3: Cross multiply
    8,662.28x = 12,997.26 × 3,189
  4. Step 4: Simplify right side
    8,662.28x = 41,448,262.14
  5. Step 5: Solve for x
    x = 41,448,262.14/8,662.28
  6. Step 6: Final answer
    x = 4,784.91

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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.