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Finding the Fourth Proportional to 11,145.46, 16,706.41 and 4,120.97

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Solution

The fourth proportional to 11,145.46, 16,706.41 and 4,120.97 is: 6,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.46 : 16,706.41 = 4,120.97 : x
  2. Step 2: Convert to fraction form
    11,145.46/16,706.41 = 4,120.97/x
  3. Step 3: Cross multiply
    11,145.46x = 16,706.41 × 4,120.97
  4. Step 4: Simplify right side
    11,145.46x = 68,846,530.89
  5. Step 5: Solve for x
    x = 68,846,530.89/11,145.46
  6. Step 6: Final answer
    x = 6,177.09

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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.