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Finding the Fourth Proportional to 11,777.39, 16,253.82 and 6,998.79

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Solution

The fourth proportional to 11,777.39, 16,253.82 and 6,998.79 is: 9,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.39 : 16,253.82 = 6,998.79 : x
  2. Step 2: Convert to fraction form
    11,777.39/16,253.82 = 6,998.79/x
  3. Step 3: Cross multiply
    11,777.39x = 16,253.82 × 6,998.79
  4. Step 4: Simplify right side
    11,777.39x = 113,757,072.88
  5. Step 5: Solve for x
    x = 113,757,072.88/11,777.39
  6. Step 6: Final answer
    x = 9,658.94

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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.