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Finding the Fourth Proportional to 11,614.73, 16,027.71 and 6,309.54

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Solution

The fourth proportional to 11,614.73, 16,027.71 and 6,309.54 is: 8,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.73 : 16,027.71 = 6,309.54 : x
  2. Step 2: Convert to fraction form
    11,614.73/16,027.71 = 6,309.54/x
  3. Step 3: Cross multiply
    11,614.73x = 16,027.71 × 6,309.54
  4. Step 4: Simplify right side
    11,614.73x = 101,127,477.35
  5. Step 5: Solve for x
    x = 101,127,477.35/11,614.73
  6. Step 6: Final answer
    x = 8,706.83

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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.