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Finding the Fourth Proportional to 11,836.42, 16,340.17 and 7,361.61

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Solution

The fourth proportional to 11,836.42, 16,340.17 and 7,361.61 is: 10,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.42 : 16,340.17 = 7,361.61 : x
  2. Step 2: Convert to fraction form
    11,836.42/16,340.17 = 7,361.61/x
  3. Step 3: Cross multiply
    11,836.42x = 16,340.17 × 7,361.61
  4. Step 4: Simplify right side
    11,836.42x = 120,289,910.84
  5. Step 5: Solve for x
    x = 120,289,910.84/11,836.42
  6. Step 6: Final answer
    x = 10,162.70

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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.