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Finding the Fourth Proportional to 7,189.96, 10,786.18 and 3,294.70

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Solution

The fourth proportional to 7,189.96, 10,786.18 and 3,294.70 is: 4,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.96 : 10,786.18 = 3,294.70 : x
  2. Step 2: Convert to fraction form
    7,189.96/10,786.18 = 3,294.70/x
  3. Step 3: Cross multiply
    7,189.96x = 10,786.18 × 3,294.70
  4. Step 4: Simplify right side
    7,189.96x = 35,537,227.25
  5. Step 5: Solve for x
    x = 35,537,227.25/7,189.96
  6. Step 6: Final answer
    x = 4,942.62

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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.