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Finding the Fourth Proportional to 11,896.89, 16,391.26 and 7,856.54

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Solution

The fourth proportional to 11,896.89, 16,391.26 and 7,856.54 is: 10,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.89 : 16,391.26 = 7,856.54 : x
  2. Step 2: Convert to fraction form
    11,896.89/16,391.26 = 7,856.54/x
  3. Step 3: Cross multiply
    11,896.89x = 16,391.26 × 7,856.54
  4. Step 4: Simplify right side
    11,896.89x = 128,778,589.84
  5. Step 5: Solve for x
    x = 128,778,589.84/11,896.89
  6. Step 6: Final answer
    x = 10,824.56

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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.