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Finding the Fourth Proportional to 11,906.80, 17,846.16 and 4,111.36

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Solution

The fourth proportional to 11,906.80, 17,846.16 and 4,111.36 is: 6,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.80 : 17,846.16 = 4,111.36 : x
  2. Step 2: Convert to fraction form
    11,906.80/17,846.16 = 4,111.36/x
  3. Step 3: Cross multiply
    11,906.80x = 17,846.16 × 4,111.36
  4. Step 4: Simplify right side
    11,906.80x = 73,371,988.38
  5. Step 5: Solve for x
    x = 73,371,988.38/11,906.80
  6. Step 6: Final answer
    x = 6,162.19

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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.