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Finding the Fourth Proportional to 8,696.86, 11,999.82 and 5,161.22

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Solution

The fourth proportional to 8,696.86, 11,999.82 and 5,161.22 is: 7,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.86 : 11,999.82 = 5,161.22 : x
  2. Step 2: Convert to fraction form
    8,696.86/11,999.82 = 5,161.22/x
  3. Step 3: Cross multiply
    8,696.86x = 11,999.82 × 5,161.22
  4. Step 4: Simplify right side
    8,696.86x = 61,933,710.98
  5. Step 5: Solve for x
    x = 61,933,710.98/8,696.86
  6. Step 6: Final answer
    x = 7,121.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.