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Finding the Fourth Proportional to 11,234, 16,852.98 and 3,836.73

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Solution

The fourth proportional to 11,234, 16,852.98 and 3,836.73 is: 5,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234 : 16,852.98 = 3,836.73 : x
  2. Step 2: Convert to fraction form
    11,234/16,852.98 = 3,836.73/x
  3. Step 3: Cross multiply
    11,234x = 16,852.98 × 3,836.73
  4. Step 4: Simplify right side
    11,234x = 64,660,249.69
  5. Step 5: Solve for x
    x = 64,660,249.69/11,234
  6. Step 6: Final answer
    x = 5,755.76

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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.