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Finding the Fourth Proportional to 10,693.88, 16,035.96 and 3,296.96

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Solution

The fourth proportional to 10,693.88, 16,035.96 and 3,296.96 is: 4,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.88 : 16,035.96 = 3,296.96 : x
  2. Step 2: Convert to fraction form
    10,693.88/16,035.96 = 3,296.96/x
  3. Step 3: Cross multiply
    10,693.88x = 16,035.96 × 3,296.96
  4. Step 4: Simplify right side
    10,693.88x = 52,869,918.68
  5. Step 5: Solve for x
    x = 52,869,918.68/10,693.88
  6. Step 6: Final answer
    x = 4,943.94

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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.