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Finding the Fourth Proportional to 11,610.92, 16,022.99 and 6,305.69

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Solution

The fourth proportional to 11,610.92, 16,022.99 and 6,305.69 is: 8,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.92 : 16,022.99 = 6,305.69 : x
  2. Step 2: Convert to fraction form
    11,610.92/16,022.99 = 6,305.69/x
  3. Step 3: Cross multiply
    11,610.92x = 16,022.99 × 6,305.69
  4. Step 4: Simplify right side
    11,610.92x = 101,035,943.46
  5. Step 5: Solve for x
    x = 101,035,943.46/11,610.92
  6. Step 6: Final answer
    x = 8,701.81

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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.