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Finding the Fourth Proportional to 11,427.86, 17,138.12 and 3,634.85

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Solution

The fourth proportional to 11,427.86, 17,138.12 and 3,634.85 is: 5,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.86 : 17,138.12 = 3,634.85 : x
  2. Step 2: Convert to fraction form
    11,427.86/17,138.12 = 3,634.85/x
  3. Step 3: Cross multiply
    11,427.86x = 17,138.12 × 3,634.85
  4. Step 4: Simplify right side
    11,427.86x = 62,294,495.48
  5. Step 5: Solve for x
    x = 62,294,495.48/11,427.86
  6. Step 6: Final answer
    x = 5,451.11

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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.