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Finding the Fourth Proportional to 11,757.78, 16,205.54 and 11,204.15

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Solution

The fourth proportional to 11,757.78, 16,205.54 and 11,204.15 is: 15,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.78 : 16,205.54 = 11,204.15 : x
  2. Step 2: Convert to fraction form
    11,757.78/16,205.54 = 11,204.15/x
  3. Step 3: Cross multiply
    11,757.78x = 16,205.54 × 11,204.15
  4. Step 4: Simplify right side
    11,757.78x = 181,569,163.94
  5. Step 5: Solve for x
    x = 181,569,163.94/11,757.78
  6. Step 6: Final answer
    x = 15,442.47

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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.