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Finding the Fourth Proportional to 27,788.06, 41,682.19 and 6,728.06

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Solution

The fourth proportional to 27,788.06, 41,682.19 and 6,728.06 is: 10,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.06 : 41,682.19 = 6,728.06 : x
  2. Step 2: Convert to fraction form
    27,788.06/41,682.19 = 6,728.06/x
  3. Step 3: Cross multiply
    27,788.06x = 41,682.19 × 6,728.06
  4. Step 4: Simplify right side
    27,788.06x = 280,440,370.52
  5. Step 5: Solve for x
    x = 280,440,370.52/27,788.06
  6. Step 6: Final answer
    x = 10,092.12

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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.