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Finding the Fourth Proportional to 7,134.62, 10,703.54 and 3,847.64

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Solution

The fourth proportional to 7,134.62, 10,703.54 and 3,847.64 is: 5,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.62 : 10,703.54 = 3,847.64 : x
  2. Step 2: Convert to fraction form
    7,134.62/10,703.54 = 3,847.64/x
  3. Step 3: Cross multiply
    7,134.62x = 10,703.54 × 3,847.64
  4. Step 4: Simplify right side
    7,134.62x = 41,183,324.75
  5. Step 5: Solve for x
    x = 41,183,324.75/7,134.62
  6. Step 6: Final answer
    x = 5,772.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.