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Finding the Fourth Proportional to 10,891.39, 15,029.91 and 6,111.42

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Solution

The fourth proportional to 10,891.39, 15,029.91 and 6,111.42 is: 8,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.39 : 15,029.91 = 6,111.42 : x
  2. Step 2: Convert to fraction form
    10,891.39/15,029.91 = 6,111.42/x
  3. Step 3: Cross multiply
    10,891.39x = 15,029.91 × 6,111.42
  4. Step 4: Simplify right side
    10,891.39x = 91,854,092.57
  5. Step 5: Solve for x
    x = 91,854,092.57/10,891.39
  6. Step 6: Final answer
    x = 8,433.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.