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Finding the Fourth Proportional to 10,891.81, 16,305.98 and 8,093.05

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Solution

The fourth proportional to 10,891.81, 16,305.98 and 8,093.05 is: 12,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.81 : 16,305.98 = 8,093.05 : x
  2. Step 2: Convert to fraction form
    10,891.81/16,305.98 = 8,093.05/x
  3. Step 3: Cross multiply
    10,891.81x = 16,305.98 × 8,093.05
  4. Step 4: Simplify right side
    10,891.81x = 131,965,167.28
  5. Step 5: Solve for x
    x = 131,965,167.28/10,891.81
  6. Step 6: Final answer
    x = 12,116.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.