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Finding the Fourth Proportional to 11,626.26, 16,042.78 and 7,857.62

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Solution

The fourth proportional to 11,626.26, 16,042.78 and 7,857.62 is: 10,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.26 : 16,042.78 = 7,857.62 : x
  2. Step 2: Convert to fraction form
    11,626.26/16,042.78 = 7,857.62/x
  3. Step 3: Cross multiply
    11,626.26x = 16,042.78 × 7,857.62
  4. Step 4: Simplify right side
    11,626.26x = 126,058,068.98
  5. Step 5: Solve for x
    x = 126,058,068.98/11,626.26
  6. Step 6: Final answer
    x = 10,842.53

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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.