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Finding the Fourth Proportional to 11,739.46, 16,200.83 and 6,434.61

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Solution

The fourth proportional to 11,739.46, 16,200.83 and 6,434.61 is: 8,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.46 : 16,200.83 = 6,434.61 : x
  2. Step 2: Convert to fraction form
    11,739.46/16,200.83 = 6,434.61/x
  3. Step 3: Cross multiply
    11,739.46x = 16,200.83 × 6,434.61
  4. Step 4: Simplify right side
    11,739.46x = 104,246,022.73
  5. Step 5: Solve for x
    x = 104,246,022.73/11,739.46
  6. Step 6: Final answer
    x = 8,879.97

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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.