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Finding the Fourth Proportional to 10,761.26, 14,864.31 and 8,227.98

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Solution

The fourth proportional to 10,761.26, 14,864.31 and 8,227.98 is: 11,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.26 : 14,864.31 = 8,227.98 : x
  2. Step 2: Convert to fraction form
    10,761.26/14,864.31 = 8,227.98/x
  3. Step 3: Cross multiply
    10,761.26x = 14,864.31 × 8,227.98
  4. Step 4: Simplify right side
    10,761.26x = 122,303,245.39
  5. Step 5: Solve for x
    x = 122,303,245.39/10,761.26
  6. Step 6: Final answer
    x = 11,365.15

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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.