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Finding the Fourth Proportional to 11,906.18, 16,433.26 and 7,707.14

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Solution

The fourth proportional to 11,906.18, 16,433.26 and 7,707.14 is: 10,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.18 : 16,433.26 = 7,707.14 : x
  2. Step 2: Convert to fraction form
    11,906.18/16,433.26 = 7,707.14/x
  3. Step 3: Cross multiply
    11,906.18x = 16,433.26 × 7,707.14
  4. Step 4: Simplify right side
    11,906.18x = 126,653,435.48
  5. Step 5: Solve for x
    x = 126,653,435.48/11,906.18
  6. Step 6: Final answer
    x = 10,637.62

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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.