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Finding the Fourth Proportional to 11,157, 15,396.84 and 6,189

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Solution

The fourth proportional to 11,157, 15,396.84 and 6,189 is: 8,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157 : 15,396.84 = 6,189 : x
  2. Step 2: Convert to fraction form
    11,157/15,396.84 = 6,189/x
  3. Step 3: Cross multiply
    11,157x = 15,396.84 × 6,189
  4. Step 4: Simplify right side
    11,157x = 95,291,042.76
  5. Step 5: Solve for x
    x = 95,291,042.76/11,157
  6. Step 6: Final answer
    x = 8,540.92

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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.