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Finding the Fourth Proportional to 11,869.06, 16,379.22 and 6,563.68

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Solution

The fourth proportional to 11,869.06, 16,379.22 and 6,563.68 is: 9,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.06 : 16,379.22 = 6,563.68 : x
  2. Step 2: Convert to fraction form
    11,869.06/16,379.22 = 6,563.68/x
  3. Step 3: Cross multiply
    11,869.06x = 16,379.22 × 6,563.68
  4. Step 4: Simplify right side
    11,869.06x = 107,507,958.73
  5. Step 5: Solve for x
    x = 107,507,958.73/11,869.06
  6. Step 6: Final answer
    x = 9,057.83

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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.