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Finding the Fourth Proportional to 11,546.61, 17,318.03 and 4,149.69

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Solution

The fourth proportional to 11,546.61, 17,318.03 and 4,149.69 is: 6,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.61 : 17,318.03 = 4,149.69 : x
  2. Step 2: Convert to fraction form
    11,546.61/17,318.03 = 4,149.69/x
  3. Step 3: Cross multiply
    11,546.61x = 17,318.03 × 4,149.69
  4. Step 4: Simplify right side
    11,546.61x = 71,864,435.16
  5. Step 5: Solve for x
    x = 71,864,435.16/11,546.61
  6. Step 6: Final answer
    x = 6,223.86

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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.