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Finding the Fourth Proportional to 11,606.22, 17,414.07 and 4,211.46

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Solution

The fourth proportional to 11,606.22, 17,414.07 and 4,211.46 is: 6,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.22 : 17,414.07 = 4,211.46 : x
  2. Step 2: Convert to fraction form
    11,606.22/17,414.07 = 4,211.46/x
  3. Step 3: Cross multiply
    11,606.22x = 17,414.07 × 4,211.46
  4. Step 4: Simplify right side
    11,606.22x = 73,338,659.24
  5. Step 5: Solve for x
    x = 73,338,659.24/11,606.22
  6. Step 6: Final answer
    x = 6,318.91

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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.