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Finding the Fourth Proportional to 11,906.86, 17,860.17 and 7,228.16

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Solution

The fourth proportional to 11,906.86, 17,860.17 and 7,228.16 is: 10,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.86 : 17,860.17 = 7,228.16 : x
  2. Step 2: Convert to fraction form
    11,906.86/17,860.17 = 7,228.16/x
  3. Step 3: Cross multiply
    11,906.86x = 17,860.17 × 7,228.16
  4. Step 4: Simplify right side
    11,906.86x = 129,096,238.14
  5. Step 5: Solve for x
    x = 129,096,238.14/11,906.86
  6. Step 6: Final answer
    x = 10,842.18

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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.