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Finding the Fourth Proportional to 11,426.96, 15,769.09 and 6,391.12

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Solution

The fourth proportional to 11,426.96, 15,769.09 and 6,391.12 is: 8,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.96 : 15,769.09 = 6,391.12 : x
  2. Step 2: Convert to fraction form
    11,426.96/15,769.09 = 6,391.12/x
  3. Step 3: Cross multiply
    11,426.96x = 15,769.09 × 6,391.12
  4. Step 4: Simplify right side
    11,426.96x = 100,782,146.48
  5. Step 5: Solve for x
    x = 100,782,146.48/11,426.96
  6. Step 6: Final answer
    x = 8,819.68

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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.