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Finding the Fourth Proportional to 11,666.36, 16,099.75 and 6,361.27

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Solution

The fourth proportional to 11,666.36, 16,099.75 and 6,361.27 is: 8,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.36 : 16,099.75 = 6,361.27 : x
  2. Step 2: Convert to fraction form
    11,666.36/16,099.75 = 6,361.27/x
  3. Step 3: Cross multiply
    11,666.36x = 16,099.75 × 6,361.27
  4. Step 4: Simplify right side
    11,666.36x = 102,414,856.68
  5. Step 5: Solve for x
    x = 102,414,856.68/11,666.36
  6. Step 6: Final answer
    x = 8,778.65

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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.