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Finding the Fourth Proportional to 11,849.65, 16,355.07 and 8,081.80

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Solution

The fourth proportional to 11,849.65, 16,355.07 and 8,081.80 is: 11,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.65 : 16,355.07 = 8,081.80 : x
  2. Step 2: Convert to fraction form
    11,849.65/16,355.07 = 8,081.80/x
  3. Step 3: Cross multiply
    11,849.65x = 16,355.07 × 8,081.80
  4. Step 4: Simplify right side
    11,849.65x = 132,178,404.73
  5. Step 5: Solve for x
    x = 132,178,404.73/11,849.65
  6. Step 6: Final answer
    x = 11,154.63

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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.