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Finding the Fourth Proportional to 27,728.28, 41,580.05 and 8,002.14

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Solution

The fourth proportional to 27,728.28, 41,580.05 and 8,002.14 is: 11,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.28 : 41,580.05 = 8,002.14 : x
  2. Step 2: Convert to fraction form
    27,728.28/41,580.05 = 8,002.14/x
  3. Step 3: Cross multiply
    27,728.28x = 41,580.05 × 8,002.14
  4. Step 4: Simplify right side
    27,728.28x = 332,729,341.30
  5. Step 5: Solve for x
    x = 332,729,341.30/27,728.28
  6. Step 6: Final answer
    x = 11,999.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.