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Finding the Fourth Proportional to 10,846.31, 14,976.39 and 8,324.42

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Solution

The fourth proportional to 10,846.31, 14,976.39 and 8,324.42 is: 11,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.31 : 14,976.39 = 8,324.42 : x
  2. Step 2: Convert to fraction form
    10,846.31/14,976.39 = 8,324.42/x
  3. Step 3: Cross multiply
    10,846.31x = 14,976.39 × 8,324.42
  4. Step 4: Simplify right side
    10,846.31x = 124,669,760.44
  5. Step 5: Solve for x
    x = 124,669,760.44/10,846.31
  6. Step 6: Final answer
    x = 11,494.21

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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.