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Finding the Fourth Proportional to 11,382.36, 17,073.54 and 3,591.78

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Solution

The fourth proportional to 11,382.36, 17,073.54 and 3,591.78 is: 5,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.36 : 17,073.54 = 3,591.78 : x
  2. Step 2: Convert to fraction form
    11,382.36/17,073.54 = 3,591.78/x
  3. Step 3: Cross multiply
    11,382.36x = 17,073.54 × 3,591.78
  4. Step 4: Simplify right side
    11,382.36x = 61,324,399.50
  5. Step 5: Solve for x
    x = 61,324,399.50/11,382.36
  6. Step 6: Final answer
    x = 5,387.67

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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.