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Finding the Fourth Proportional to 11,687.87, 16,129.35 and 6,382.82

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Solution

The fourth proportional to 11,687.87, 16,129.35 and 6,382.82 is: 8,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.87 : 16,129.35 = 6,382.82 : x
  2. Step 2: Convert to fraction form
    11,687.87/16,129.35 = 6,382.82/x
  3. Step 3: Cross multiply
    11,687.87x = 16,129.35 × 6,382.82
  4. Step 4: Simplify right side
    11,687.87x = 102,950,778.09
  5. Step 5: Solve for x
    x = 102,950,778.09/11,687.87
  6. Step 6: Final answer
    x = 8,808.34

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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.