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Finding the Fourth Proportional to 27,007.75, 40,511.49 and 7,288.30

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Solution

The fourth proportional to 27,007.75, 40,511.49 and 7,288.30 is: 10,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.75 : 40,511.49 = 7,288.30 : x
  2. Step 2: Convert to fraction form
    27,007.75/40,511.49 = 7,288.30/x
  3. Step 3: Cross multiply
    27,007.75x = 40,511.49 × 7,288.30
  4. Step 4: Simplify right side
    27,007.75x = 295,259,892.57
  5. Step 5: Solve for x
    x = 295,259,892.57/27,007.75
  6. Step 6: Final answer
    x = 10,932.41

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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.