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Finding the Fourth Proportional to 7,694.06, 10,617.82 and 4,157.27

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Solution

The fourth proportional to 7,694.06, 10,617.82 and 4,157.27 is: 5,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.06 : 10,617.82 = 4,157.27 : x
  2. Step 2: Convert to fraction form
    7,694.06/10,617.82 = 4,157.27/x
  3. Step 3: Cross multiply
    7,694.06x = 10,617.82 × 4,157.27
  4. Step 4: Simplify right side
    7,694.06x = 44,141,144.55
  5. Step 5: Solve for x
    x = 44,141,144.55/7,694.06
  6. Step 6: Final answer
    x = 5,737.04

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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.