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Finding the Fourth Proportional to 11,949.29, 16,486.77 and 7,696.86

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Solution

The fourth proportional to 11,949.29, 16,486.77 and 7,696.86 is: 10,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.29 : 16,486.77 = 7,696.86 : x
  2. Step 2: Convert to fraction form
    11,949.29/16,486.77 = 7,696.86/x
  3. Step 3: Cross multiply
    11,949.29x = 16,486.77 × 7,696.86
  4. Step 4: Simplify right side
    11,949.29x = 126,896,360.54
  5. Step 5: Solve for x
    x = 126,896,360.54/11,949.29
  6. Step 6: Final answer
    x = 10,619.58

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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.