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Finding the Fourth Proportional to 11,836.56, 16,333.90 and 6,797.23

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Solution

The fourth proportional to 11,836.56, 16,333.90 and 6,797.23 is: 9,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.56 : 16,333.90 = 6,797.23 : x
  2. Step 2: Convert to fraction form
    11,836.56/16,333.90 = 6,797.23/x
  3. Step 3: Cross multiply
    11,836.56x = 16,333.90 × 6,797.23
  4. Step 4: Simplify right side
    11,836.56x = 111,025,347.38
  5. Step 5: Solve for x
    x = 111,025,347.38/11,836.56
  6. Step 6: Final answer
    x = 9,379.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.