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Finding the Fourth Proportional to 27,727.94, 41,583.71 and 8,006.67

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Solution

The fourth proportional to 27,727.94, 41,583.71 and 8,006.67 is: 12,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,727.94 : 41,583.71 = 8,006.67 : x
  2. Step 2: Convert to fraction form
    27,727.94/41,583.71 = 8,006.67/x
  3. Step 3: Cross multiply
    27,727.94x = 41,583.71 × 8,006.67
  4. Step 4: Simplify right side
    27,727.94x = 332,947,063.36
  5. Step 5: Solve for x
    x = 332,947,063.36/27,727.94
  6. Step 6: Final answer
    x = 12,007.64

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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.