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Finding the Fourth Proportional to 11,493.02, 17,212.97 and 6,865.82

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Solution

The fourth proportional to 11,493.02, 17,212.97 and 6,865.82 is: 10,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.02 : 17,212.97 = 6,865.82 : x
  2. Step 2: Convert to fraction form
    11,493.02/17,212.97 = 6,865.82/x
  3. Step 3: Cross multiply
    11,493.02x = 17,212.97 × 6,865.82
  4. Step 4: Simplify right side
    11,493.02x = 118,181,153.69
  5. Step 5: Solve for x
    x = 118,181,153.69/11,493.02
  6. Step 6: Final answer
    x = 10,282.86

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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.