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Finding the Fourth Proportional to 11,696.62, 16,141.36 and 6,391.46

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Solution

The fourth proportional to 11,696.62, 16,141.36 and 6,391.46 is: 8,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.62 : 16,141.36 = 6,391.46 : x
  2. Step 2: Convert to fraction form
    11,696.62/16,141.36 = 6,391.46/x
  3. Step 3: Cross multiply
    11,696.62x = 16,141.36 × 6,391.46
  4. Step 4: Simplify right side
    11,696.62x = 103,166,856.79
  5. Step 5: Solve for x
    x = 103,166,856.79/11,696.62
  6. Step 6: Final answer
    x = 8,820.23

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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.