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Finding the Fourth Proportional to 8,997.66, 12,422.57 and 5,812.38

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Solution

The fourth proportional to 8,997.66, 12,422.57 and 5,812.38 is: 8,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.66 : 12,422.57 = 5,812.38 : x
  2. Step 2: Convert to fraction form
    8,997.66/12,422.57 = 5,812.38/x
  3. Step 3: Cross multiply
    8,997.66x = 12,422.57 × 5,812.38
  4. Step 4: Simplify right side
    8,997.66x = 72,204,668.35
  5. Step 5: Solve for x
    x = 72,204,668.35/8,997.66
  6. Step 6: Final answer
    x = 8,024.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.