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Finding the Fourth Proportional to 11,906.40, 17,861.58 and 4,113.12

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Solution

The fourth proportional to 11,906.40, 17,861.58 and 4,113.12 is: 6,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.40 : 17,861.58 = 4,113.12 : x
  2. Step 2: Convert to fraction form
    11,906.40/17,861.58 = 4,113.12/x
  3. Step 3: Cross multiply
    11,906.40x = 17,861.58 × 4,113.12
  4. Step 4: Simplify right side
    11,906.40x = 73,466,821.93
  5. Step 5: Solve for x
    x = 73,466,821.93/11,906.40
  6. Step 6: Final answer
    x = 6,170.36

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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.