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Finding the Fourth Proportional to 27,811.62, 41,717.05 and 6,751.82

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Solution

The fourth proportional to 27,811.62, 41,717.05 and 6,751.82 is: 10,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.62 : 41,717.05 = 6,751.82 : x
  2. Step 2: Convert to fraction form
    27,811.62/41,717.05 = 6,751.82/x
  3. Step 3: Cross multiply
    27,811.62x = 41,717.05 × 6,751.82
  4. Step 4: Simplify right side
    27,811.62x = 281,666,099.94
  5. Step 5: Solve for x
    x = 281,666,099.94/27,811.62
  6. Step 6: Final answer
    x = 10,127.64

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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.