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Finding the Fourth Proportional to 11,376.68, 17,072.70 and 3,981.20

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Solution

The fourth proportional to 11,376.68, 17,072.70 and 3,981.20 is: 5,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.68 : 17,072.70 = 3,981.20 : x
  2. Step 2: Convert to fraction form
    11,376.68/17,072.70 = 3,981.20/x
  3. Step 3: Cross multiply
    11,376.68x = 17,072.70 × 3,981.20
  4. Step 4: Simplify right side
    11,376.68x = 67,969,862.57
  5. Step 5: Solve for x
    x = 67,969,862.57/11,376.68
  6. Step 6: Final answer
    x = 5,974.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.