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Finding the Fourth Proportional to 11,633.13, 16,053.92 and 6,328.03

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Solution

The fourth proportional to 11,633.13, 16,053.92 and 6,328.03 is: 8,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.13 : 16,053.92 = 6,328.03 : x
  2. Step 2: Convert to fraction form
    11,633.13/16,053.92 = 6,328.03/x
  3. Step 3: Cross multiply
    11,633.13x = 16,053.92 × 6,328.03
  4. Step 4: Simplify right side
    11,633.13x = 101,589,687.38
  5. Step 5: Solve for x
    x = 101,589,687.38/11,633.13
  6. Step 6: Final answer
    x = 8,732.79

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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.