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Finding the Fourth Proportional to 8,273.82, 11,418.09 and 4,738.17

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Solution

The fourth proportional to 8,273.82, 11,418.09 and 4,738.17 is: 6,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.82 : 11,418.09 = 4,738.17 : x
  2. Step 2: Convert to fraction form
    8,273.82/11,418.09 = 4,738.17/x
  3. Step 3: Cross multiply
    8,273.82x = 11,418.09 × 4,738.17
  4. Step 4: Simplify right side
    8,273.82x = 54,100,851.50
  5. Step 5: Solve for x
    x = 54,100,851.50/8,273.82
  6. Step 6: Final answer
    x = 6,538.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.