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Finding the Fourth Proportional to 6,934.50, 10,399.17 and 2,253.31

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Solution

The fourth proportional to 6,934.50, 10,399.17 and 2,253.31 is: 3,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.50 : 10,399.17 = 2,253.31 : x
  2. Step 2: Convert to fraction form
    6,934.50/10,399.17 = 2,253.31/x
  3. Step 3: Cross multiply
    6,934.50x = 10,399.17 × 2,253.31
  4. Step 4: Simplify right side
    6,934.50x = 23,432,553.75
  5. Step 5: Solve for x
    x = 23,432,553.75/6,934.50
  6. Step 6: Final answer
    x = 3,379.13

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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.