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Finding the Fourth Proportional to 10,940.67, 16,414.11 and 5,021.46

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Solution

The fourth proportional to 10,940.67, 16,414.11 and 5,021.46 is: 7,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.67 : 16,414.11 = 5,021.46 : x
  2. Step 2: Convert to fraction form
    10,940.67/16,414.11 = 5,021.46/x
  3. Step 3: Cross multiply
    10,940.67x = 16,414.11 × 5,021.46
  4. Step 4: Simplify right side
    10,940.67x = 82,422,796.80
  5. Step 5: Solve for x
    x = 82,422,796.80/10,940.67
  6. Step 6: Final answer
    x = 7,533.62

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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.