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Finding the Fourth Proportional to 11,805.51, 16,309.50 and 8,816.19

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Solution

The fourth proportional to 11,805.51, 16,309.50 and 8,816.19 is: 12,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.51 : 16,309.50 = 8,816.19 : x
  2. Step 2: Convert to fraction form
    11,805.51/16,309.50 = 8,816.19/x
  3. Step 3: Cross multiply
    11,805.51x = 16,309.50 × 8,816.19
  4. Step 4: Simplify right side
    11,805.51x = 143,787,650.81
  5. Step 5: Solve for x
    x = 143,787,650.81/11,805.51
  6. Step 6: Final answer
    x = 12,179.71

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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.