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Finding the Fourth Proportional to 11,671.13, 16,105.95 and 6,365.83

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Solution

The fourth proportional to 11,671.13, 16,105.95 and 6,365.83 is: 8,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.13 : 16,105.95 = 6,365.83 : x
  2. Step 2: Convert to fraction form
    11,671.13/16,105.95 = 6,365.83/x
  3. Step 3: Cross multiply
    11,671.13x = 16,105.95 × 6,365.83
  4. Step 4: Simplify right side
    11,671.13x = 102,527,739.69
  5. Step 5: Solve for x
    x = 102,527,739.69/11,671.13
  6. Step 6: Final answer
    x = 8,784.73

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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.