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Finding the Fourth Proportional to 11,163.38, 15,406.26 and 7,379.97

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Solution

The fourth proportional to 11,163.38, 15,406.26 and 7,379.97 is: 10,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.38 : 15,406.26 = 7,379.97 : x
  2. Step 2: Convert to fraction form
    11,163.38/15,406.26 = 7,379.97/x
  3. Step 3: Cross multiply
    11,163.38x = 15,406.26 × 7,379.97
  4. Step 4: Simplify right side
    11,163.38x = 113,697,699.71
  5. Step 5: Solve for x
    x = 113,697,699.71/11,163.38
  6. Step 6: Final answer
    x = 10,184.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.