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Finding the Fourth Proportional to 11,633.87, 16,049.75 and 9,105.83

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Solution

The fourth proportional to 11,633.87, 16,049.75 and 9,105.83 is: 12,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.87 : 16,049.75 = 9,105.83 : x
  2. Step 2: Convert to fraction form
    11,633.87/16,049.75 = 9,105.83/x
  3. Step 3: Cross multiply
    11,633.87x = 16,049.75 × 9,105.83
  4. Step 4: Simplify right side
    11,633.87x = 146,146,169.26
  5. Step 5: Solve for x
    x = 146,146,169.26/11,633.87
  6. Step 6: Final answer
    x = 12,562.13

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