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Finding the Fourth Proportional to 11,198.65, 15,453.80 and 6,162.86

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Solution

The fourth proportional to 11,198.65, 15,453.80 and 6,162.86 is: 8,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.65 : 15,453.80 = 6,162.86 : x
  2. Step 2: Convert to fraction form
    11,198.65/15,453.80 = 6,162.86/x
  3. Step 3: Cross multiply
    11,198.65x = 15,453.80 × 6,162.86
  4. Step 4: Simplify right side
    11,198.65x = 95,239,575.05
  5. Step 5: Solve for x
    x = 95,239,575.05/11,198.65
  6. Step 6: Final answer
    x = 8,504.56

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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.