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Finding the Fourth Proportional to 11,704.37, 16,157.90 and 7,947.41

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Solution

The fourth proportional to 11,704.37, 16,157.90 and 7,947.41 is: 10,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.37 : 16,157.90 = 7,947.41 : x
  2. Step 2: Convert to fraction form
    11,704.37/16,157.90 = 7,947.41/x
  3. Step 3: Cross multiply
    11,704.37x = 16,157.90 × 7,947.41
  4. Step 4: Simplify right side
    11,704.37x = 128,413,456.04
  5. Step 5: Solve for x
    x = 128,413,456.04/11,704.37
  6. Step 6: Final answer
    x = 10,971.41

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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.