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Finding the Fourth Proportional to 11,671.32, 16,105.92 and 6,365.82

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Solution

The fourth proportional to 11,671.32, 16,105.92 and 6,365.82 is: 8,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.32 : 16,105.92 = 6,365.82 : x
  2. Step 2: Convert to fraction form
    11,671.32/16,105.92 = 6,365.82/x
  3. Step 3: Cross multiply
    11,671.32x = 16,105.92 × 6,365.82
  4. Step 4: Simplify right side
    11,671.32x = 102,527,387.65
  5. Step 5: Solve for x
    x = 102,527,387.65/11,671.32
  6. Step 6: Final answer
    x = 8,784.56

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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.