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Finding the Fourth Proportional to 8,243.82, 11,376.96 and 5,057.47

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Solution

The fourth proportional to 8,243.82, 11,376.96 and 5,057.47 is: 6,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.82 : 11,376.96 = 5,057.47 : x
  2. Step 2: Convert to fraction form
    8,243.82/11,376.96 = 5,057.47/x
  3. Step 3: Cross multiply
    8,243.82x = 11,376.96 × 5,057.47
  4. Step 4: Simplify right side
    8,243.82x = 57,538,633.89
  5. Step 5: Solve for x
    x = 57,538,633.89/8,243.82
  6. Step 6: Final answer
    x = 6,979.61

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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.