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Finding the Fourth Proportional to 8,227.44, 11,354.99 and 5,042.63

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Solution

The fourth proportional to 8,227.44, 11,354.99 and 5,042.63 is: 6,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.44 : 11,354.99 = 5,042.63 : x
  2. Step 2: Convert to fraction form
    8,227.44/11,354.99 = 5,042.63/x
  3. Step 3: Cross multiply
    8,227.44x = 11,354.99 × 5,042.63
  4. Step 4: Simplify right side
    8,227.44x = 57,259,016.40
  5. Step 5: Solve for x
    x = 57,259,016.40/8,227.44
  6. Step 6: Final answer
    x = 6,959.52

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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.