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Finding the Fourth Proportional to 11,896.80, 16,414.56 and 7,420.20

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Solution

The fourth proportional to 11,896.80, 16,414.56 and 7,420.20 is: 10,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.80 : 16,414.56 = 7,420.20 : x
  2. Step 2: Convert to fraction form
    11,896.80/16,414.56 = 7,420.20/x
  3. Step 3: Cross multiply
    11,896.80x = 16,414.56 × 7,420.20
  4. Step 4: Simplify right side
    11,896.80x = 121,799,318.11
  5. Step 5: Solve for x
    x = 121,799,318.11/11,896.80
  6. Step 6: Final answer
    x = 10,237.99

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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.