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Finding the Fourth Proportional to 11,696.31, 16,140.96 and 6,391.22

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Solution

The fourth proportional to 11,696.31, 16,140.96 and 6,391.22 is: 8,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.31 : 16,140.96 = 6,391.22 : x
  2. Step 2: Convert to fraction form
    11,696.31/16,140.96 = 6,391.22/x
  3. Step 3: Cross multiply
    11,696.31x = 16,140.96 × 6,391.22
  4. Step 4: Simplify right side
    11,696.31x = 103,160,345.67
  5. Step 5: Solve for x
    x = 103,160,345.67/11,696.31
  6. Step 6: Final answer
    x = 8,819.91

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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.