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Finding the Fourth Proportional to 11,806.66, 17,703.42 and 5,474.62

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Solution

The fourth proportional to 11,806.66, 17,703.42 and 5,474.62 is: 8,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.66 : 17,703.42 = 5,474.62 : x
  2. Step 2: Convert to fraction form
    11,806.66/17,703.42 = 5,474.62/x
  3. Step 3: Cross multiply
    11,806.66x = 17,703.42 × 5,474.62
  4. Step 4: Simplify right side
    11,806.66x = 96,919,497.20
  5. Step 5: Solve for x
    x = 96,919,497.20/11,806.66
  6. Step 6: Final answer
    x = 8,208.88

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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.