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Finding the Fourth Proportional to 10,877.31, 16,309.41 and 5,940.09

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Solution

The fourth proportional to 10,877.31, 16,309.41 and 5,940.09 is: 8,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.31 : 16,309.41 = 5,940.09 : x
  2. Step 2: Convert to fraction form
    10,877.31/16,309.41 = 5,940.09/x
  3. Step 3: Cross multiply
    10,877.31x = 16,309.41 × 5,940.09
  4. Step 4: Simplify right side
    10,877.31x = 96,879,363.25
  5. Step 5: Solve for x
    x = 96,879,363.25/10,877.31
  6. Step 6: Final answer
    x = 8,906.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.