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Finding the Fourth Proportional to 27,806.84, 41,709.89 and 6,747.05

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Solution

The fourth proportional to 27,806.84, 41,709.89 and 6,747.05 is: 10,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.84 : 41,709.89 = 6,747.05 : x
  2. Step 2: Convert to fraction form
    27,806.84/41,709.89 = 6,747.05/x
  3. Step 3: Cross multiply
    27,806.84x = 41,709.89 × 6,747.05
  4. Step 4: Simplify right side
    27,806.84x = 281,418,561.90
  5. Step 5: Solve for x
    x = 281,418,561.90/27,806.84
  6. Step 6: Final answer
    x = 10,120.48

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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.