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Finding the Fourth Proportional to 7,178.14, 10,757.99 and 6,993.62

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Solution

The fourth proportional to 7,178.14, 10,757.99 and 6,993.62 is: 10,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.14 : 10,757.99 = 6,993.62 : x
  2. Step 2: Convert to fraction form
    7,178.14/10,757.99 = 6,993.62/x
  3. Step 3: Cross multiply
    7,178.14x = 10,757.99 × 6,993.62
  4. Step 4: Simplify right side
    7,178.14x = 75,237,248.13
  5. Step 5: Solve for x
    x = 75,237,248.13/7,178.14
  6. Step 6: Final answer
    x = 10,481.43

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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.