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Finding the Fourth Proportional to 7,694.21, 10,618.02 and 4,157.42

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Solution

The fourth proportional to 7,694.21, 10,618.02 and 4,157.42 is: 5,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.21 : 10,618.02 = 4,157.42 : x
  2. Step 2: Convert to fraction form
    7,694.21/10,618.02 = 4,157.42/x
  3. Step 3: Cross multiply
    7,694.21x = 10,618.02 × 4,157.42
  4. Step 4: Simplify right side
    7,694.21x = 44,143,568.71
  5. Step 5: Solve for x
    x = 44,143,568.71/7,694.21
  6. Step 6: Final answer
    x = 5,737.25

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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.