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Finding the Fourth Proportional to 11,163.69, 16,741.62 and 3,264.03

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Solution

The fourth proportional to 11,163.69, 16,741.62 and 3,264.03 is: 4,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.69 : 16,741.62 = 3,264.03 : x
  2. Step 2: Convert to fraction form
    11,163.69/16,741.62 = 3,264.03/x
  3. Step 3: Cross multiply
    11,163.69x = 16,741.62 × 3,264.03
  4. Step 4: Simplify right side
    11,163.69x = 54,645,149.93
  5. Step 5: Solve for x
    x = 54,645,149.93/11,163.69
  6. Step 6: Final answer
    x = 4,894.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.