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Finding the Fourth Proportional to 11,604.96, 17,400.24 and 3,811.68

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Solution

The fourth proportional to 11,604.96, 17,400.24 and 3,811.68 is: 5,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.96 : 17,400.24 = 3,811.68 : x
  2. Step 2: Convert to fraction form
    11,604.96/17,400.24 = 3,811.68/x
  3. Step 3: Cross multiply
    11,604.96x = 17,400.24 × 3,811.68
  4. Step 4: Simplify right side
    11,604.96x = 66,324,146.80
  5. Step 5: Solve for x
    x = 66,324,146.80/11,604.96
  6. Step 6: Final answer
    x = 5,715.16

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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.