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Finding the Fourth Proportional to 11,238.34, 16,846.20 and 3,837.78

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Solution

The fourth proportional to 11,238.34, 16,846.20 and 3,837.78 is: 5,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.34 : 16,846.20 = 3,837.78 : x
  2. Step 2: Convert to fraction form
    11,238.34/16,846.20 = 3,837.78/x
  3. Step 3: Cross multiply
    11,238.34x = 16,846.20 × 3,837.78
  4. Step 4: Simplify right side
    11,238.34x = 64,651,906.02
  5. Step 5: Solve for x
    x = 64,651,906.02/11,238.34
  6. Step 6: Final answer
    x = 5,752.80

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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.