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Finding the Fourth Proportional to 11,277.68, 16,912.80 and 3,881.96

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Solution

The fourth proportional to 11,277.68, 16,912.80 and 3,881.96 is: 5,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.68 : 16,912.80 = 3,881.96 : x
  2. Step 2: Convert to fraction form
    11,277.68/16,912.80 = 3,881.96/x
  3. Step 3: Cross multiply
    11,277.68x = 16,912.80 × 3,881.96
  4. Step 4: Simplify right side
    11,277.68x = 65,654,813.09
  5. Step 5: Solve for x
    x = 65,654,813.09/11,277.68
  6. Step 6: Final answer
    x = 5,821.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.