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Finding the Fourth Proportional to 11,759.96, 16,228.86 and 6,382.44

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Solution

The fourth proportional to 11,759.96, 16,228.86 and 6,382.44 is: 8,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.96 : 16,228.86 = 6,382.44 : x
  2. Step 2: Convert to fraction form
    11,759.96/16,228.86 = 6,382.44/x
  3. Step 3: Cross multiply
    11,759.96x = 16,228.86 × 6,382.44
  4. Step 4: Simplify right side
    11,759.96x = 103,579,805.65
  5. Step 5: Solve for x
    x = 103,579,805.65/11,759.96
  6. Step 6: Final answer
    x = 8,807.84

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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.