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Finding the Fourth Proportional to 10,993.57, 16,494 and 7,310.30

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Solution

The fourth proportional to 10,993.57, 16,494 and 7,310.30 is: 10,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.57 : 16,494 = 7,310.30 : x
  2. Step 2: Convert to fraction form
    10,993.57/16,494 = 7,310.30/x
  3. Step 3: Cross multiply
    10,993.57x = 16,494 × 7,310.30
  4. Step 4: Simplify right side
    10,993.57x = 120,576,046.97
  5. Step 5: Solve for x
    x = 120,576,046.97/10,993.57
  6. Step 6: Final answer
    x = 10,967.87

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Why These Related Problems?

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