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Finding the Fourth Proportional to 11,657.26, 16,081.89 and 7,879.05

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Solution

The fourth proportional to 11,657.26, 16,081.89 and 7,879.05 is: 10,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.26 : 16,081.89 = 7,879.05 : x
  2. Step 2: Convert to fraction form
    11,657.26/16,081.89 = 7,879.05/x
  3. Step 3: Cross multiply
    11,657.26x = 16,081.89 × 7,879.05
  4. Step 4: Simplify right side
    11,657.26x = 126,710,015.40
  5. Step 5: Solve for x
    x = 126,710,015.40/11,657.26
  6. Step 6: Final answer
    x = 10,869.62

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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.