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Finding the Fourth Proportional to 11,960.66, 17,939.72 and 3,196.46

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Solution

The fourth proportional to 11,960.66, 17,939.72 and 3,196.46 is: 4,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.66 : 17,939.72 = 3,196.46 : x
  2. Step 2: Convert to fraction form
    11,960.66/17,939.72 = 3,196.46/x
  3. Step 3: Cross multiply
    11,960.66x = 17,939.72 × 3,196.46
  4. Step 4: Simplify right side
    11,960.66x = 57,343,597.39
  5. Step 5: Solve for x
    x = 57,343,597.39/11,960.66
  6. Step 6: Final answer
    x = 4,794.35

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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.