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Finding the Fourth Proportional to 11,960.46, 17,940.70 and 5,719

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Solution

The fourth proportional to 11,960.46, 17,940.70 and 5,719 is: 8,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.46 : 17,940.70 = 5,719 : x
  2. Step 2: Convert to fraction form
    11,960.46/17,940.70 = 5,719/x
  3. Step 3: Cross multiply
    11,960.46x = 17,940.70 × 5,719
  4. Step 4: Simplify right side
    11,960.46x = 102,602,863.30
  5. Step 5: Solve for x
    x = 102,602,863.30/11,960.46
  6. Step 6: Final answer
    x = 8,578.50

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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.