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Finding the Fourth Proportional to 11,512.69, 17,266.50 and 4,117.66

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Solution

The fourth proportional to 11,512.69, 17,266.50 and 4,117.66 is: 6,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.69 : 17,266.50 = 4,117.66 : x
  2. Step 2: Convert to fraction form
    11,512.69/17,266.50 = 4,117.66/x
  3. Step 3: Cross multiply
    11,512.69x = 17,266.50 × 4,117.66
  4. Step 4: Simplify right side
    11,512.69x = 71,097,576.39
  5. Step 5: Solve for x
    x = 71,097,576.39/11,512.69
  6. Step 6: Final answer
    x = 6,175.58

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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.