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Finding the Fourth Proportional to 11,657.26, 16,081.02 and 7,626.46

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Solution

The fourth proportional to 11,657.26, 16,081.02 and 7,626.46 is: 10,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.26 : 16,081.02 = 7,626.46 : x
  2. Step 2: Convert to fraction form
    11,657.26/16,081.02 = 7,626.46/x
  3. Step 3: Cross multiply
    11,657.26x = 16,081.02 × 7,626.46
  4. Step 4: Simplify right side
    11,657.26x = 122,641,255.79
  5. Step 5: Solve for x
    x = 122,641,255.79/11,657.26
  6. Step 6: Final answer
    x = 10,520.59

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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.