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Finding the Fourth Proportional to 27,008.25, 40,512.24 and 7,288.80

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Solution

The fourth proportional to 27,008.25, 40,512.24 and 7,288.80 is: 10,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,008.25 : 40,512.24 = 7,288.80 : x
  2. Step 2: Convert to fraction form
    27,008.25/40,512.24 = 7,288.80/x
  3. Step 3: Cross multiply
    27,008.25x = 40,512.24 × 7,288.80
  4. Step 4: Simplify right side
    27,008.25x = 295,285,614.91
  5. Step 5: Solve for x
    x = 295,285,614.91/27,008.25
  6. Step 6: Final answer
    x = 10,933.16

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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.