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Finding the Fourth Proportional to 7,694.70, 10,618.62 and 4,157.88

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Solution

The fourth proportional to 7,694.70, 10,618.62 and 4,157.88 is: 5,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.70 : 10,618.62 = 4,157.88 : x
  2. Step 2: Convert to fraction form
    7,694.70/10,618.62 = 4,157.88/x
  3. Step 3: Cross multiply
    7,694.70x = 10,618.62 × 4,157.88
  4. Step 4: Simplify right side
    7,694.70x = 44,150,947.73
  5. Step 5: Solve for x
    x = 44,150,947.73/7,694.70
  6. Step 6: Final answer
    x = 5,737.84

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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.