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Finding the Fourth Proportional to 11,704.87, 16,158.59 and 7,947.91

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Solution

The fourth proportional to 11,704.87, 16,158.59 and 7,947.91 is: 10,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.87 : 16,158.59 = 7,947.91 : x
  2. Step 2: Convert to fraction form
    11,704.87/16,158.59 = 7,947.91/x
  3. Step 3: Cross multiply
    11,704.87x = 16,158.59 × 7,947.91
  4. Step 4: Simplify right side
    11,704.87x = 128,427,019.05
  5. Step 5: Solve for x
    x = 128,427,019.05/11,704.87
  6. Step 6: Final answer
    x = 10,972.10

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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.