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Finding the Fourth Proportional to 11,806.92, 17,695.10 and 5,479.48

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Solution

The fourth proportional to 11,806.92, 17,695.10 and 5,479.48 is: 8,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.92 : 17,695.10 = 5,479.48 : x
  2. Step 2: Convert to fraction form
    11,806.92/17,695.10 = 5,479.48/x
  3. Step 3: Cross multiply
    11,806.92x = 17,695.10 × 5,479.48
  4. Step 4: Simplify right side
    11,806.92x = 96,959,946.55
  5. Step 5: Solve for x
    x = 96,959,946.55/11,806.92
  6. Step 6: Final answer
    x = 8,212.13

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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.