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Finding the Fourth Proportional to 11,696.26, 16,141.05 and 6,391.30

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Solution

The fourth proportional to 11,696.26, 16,141.05 and 6,391.30 is: 8,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.26 : 16,141.05 = 6,391.30 : x
  2. Step 2: Convert to fraction form
    11,696.26/16,141.05 = 6,391.30/x
  3. Step 3: Cross multiply
    11,696.26x = 16,141.05 × 6,391.30
  4. Step 4: Simplify right side
    11,696.26x = 103,162,292.87
  5. Step 5: Solve for x
    x = 103,162,292.87/11,696.26
  6. Step 6: Final answer
    x = 8,820.11

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