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Finding the Fourth Proportional to 11,866.72, 16,379.96 and 8,330.80

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Solution

The fourth proportional to 11,866.72, 16,379.96 and 8,330.80 is: 11,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.72 : 16,379.96 = 8,330.80 : x
  2. Step 2: Convert to fraction form
    11,866.72/16,379.96 = 8,330.80/x
  3. Step 3: Cross multiply
    11,866.72x = 16,379.96 × 8,330.80
  4. Step 4: Simplify right side
    11,866.72x = 136,458,170.77
  5. Step 5: Solve for x
    x = 136,458,170.77/11,866.72
  6. Step 6: Final answer
    x = 11,499.23

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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.