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Finding the Fourth Proportional to 11,137.88, 15,370.28 and 6,169.88

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Solution

The fourth proportional to 11,137.88, 15,370.28 and 6,169.88 is: 8,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.88 : 15,370.28 = 6,169.88 : x
  2. Step 2: Convert to fraction form
    11,137.88/15,370.28 = 6,169.88/x
  3. Step 3: Cross multiply
    11,137.88x = 15,370.28 × 6,169.88
  4. Step 4: Simplify right side
    11,137.88x = 94,832,675.47
  5. Step 5: Solve for x
    x = 94,832,675.47/11,137.88
  6. Step 6: Final answer
    x = 8,514.43

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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.