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Finding the Fourth Proportional to 27,937.85, 41,913.05 and 8,217.99

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Solution

The fourth proportional to 27,937.85, 41,913.05 and 8,217.99 is: 12,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.85 : 41,913.05 = 8,217.99 : x
  2. Step 2: Convert to fraction form
    27,937.85/41,913.05 = 8,217.99/x
  3. Step 3: Cross multiply
    27,937.85x = 41,913.05 × 8,217.99
  4. Step 4: Simplify right side
    27,937.85x = 344,440,984.68
  5. Step 5: Solve for x
    x = 344,440,984.68/27,937.85
  6. Step 6: Final answer
    x = 12,328.83

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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.