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Finding the Fourth Proportional to 10,998.42, 16,493.07 and 7,665.27

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Solution

The fourth proportional to 10,998.42, 16,493.07 and 7,665.27 is: 11,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.42 : 16,493.07 = 7,665.27 : x
  2. Step 2: Convert to fraction form
    10,998.42/16,493.07 = 7,665.27/x
  3. Step 3: Cross multiply
    10,998.42x = 16,493.07 × 7,665.27
  4. Step 4: Simplify right side
    10,998.42x = 126,423,834.68
  5. Step 5: Solve for x
    x = 126,423,834.68/10,998.42
  6. Step 6: Final answer
    x = 11,494.73

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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.