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Finding the Fourth Proportional to 27,828.80, 41,738.03 and 8,102.67

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Solution

The fourth proportional to 27,828.80, 41,738.03 and 8,102.67 is: 12,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828.80 : 41,738.03 = 8,102.67 : x
  2. Step 2: Convert to fraction form
    27,828.80/41,738.03 = 8,102.67/x
  3. Step 3: Cross multiply
    27,828.80x = 41,738.03 × 8,102.67
  4. Step 4: Simplify right side
    27,828.80x = 338,189,362.47
  5. Step 5: Solve for x
    x = 338,189,362.47/27,828.80
  6. Step 6: Final answer
    x = 12,152.50

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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.