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Finding the Fourth Proportional to 11,135, 15,367.42 and 6,167

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Solution

The fourth proportional to 11,135, 15,367.42 and 6,167 is: 8,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135 : 15,367.42 = 6,167 : x
  2. Step 2: Convert to fraction form
    11,135/15,367.42 = 6,167/x
  3. Step 3: Cross multiply
    11,135x = 15,367.42 × 6,167
  4. Step 4: Simplify right side
    11,135x = 94,770,879.14
  5. Step 5: Solve for x
    x = 94,770,879.14/11,135
  6. Step 6: Final answer
    x = 8,511.08

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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.