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Finding the Fourth Proportional to 11,770.26, 17,661.87 and 7,156.50

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Solution

The fourth proportional to 11,770.26, 17,661.87 and 7,156.50 is: 10,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.26 : 17,661.87 = 7,156.50 : x
  2. Step 2: Convert to fraction form
    11,770.26/17,661.87 = 7,156.50/x
  3. Step 3: Cross multiply
    11,770.26x = 17,661.87 × 7,156.50
  4. Step 4: Simplify right side
    11,770.26x = 126,397,172.66
  5. Step 5: Solve for x
    x = 126,397,172.66/11,770.26
  6. Step 6: Final answer
    x = 10,738.69

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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.