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Finding the Fourth Proportional to 27,926.97, 41,893.53 and 8,207.06

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Solution

The fourth proportional to 27,926.97, 41,893.53 and 8,207.06 is: 12,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,926.97 : 41,893.53 = 8,207.06 : x
  2. Step 2: Convert to fraction form
    27,926.97/41,893.53 = 8,207.06/x
  3. Step 3: Cross multiply
    27,926.97x = 41,893.53 × 8,207.06
  4. Step 4: Simplify right side
    27,926.97x = 343,822,819.06
  5. Step 5: Solve for x
    x = 343,822,819.06/27,926.97
  6. Step 6: Final answer
    x = 12,311.50

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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.