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Finding the Fourth Proportional to 11,661.08, 17,493.54 and 5,817.88

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Solution

The fourth proportional to 11,661.08, 17,493.54 and 5,817.88 is: 8,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.08 : 17,493.54 = 5,817.88 : x
  2. Step 2: Convert to fraction form
    11,661.08/17,493.54 = 5,817.88/x
  3. Step 3: Cross multiply
    11,661.08x = 17,493.54 × 5,817.88
  4. Step 4: Simplify right side
    11,661.08x = 101,775,316.50
  5. Step 5: Solve for x
    x = 101,775,316.50/11,661.08
  6. Step 6: Final answer
    x = 8,727.78

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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.