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Finding the Fourth Proportional to 11,138.38, 15,370.96 and 6,170.38

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Solution

The fourth proportional to 11,138.38, 15,370.96 and 6,170.38 is: 8,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.38 : 15,370.96 = 6,170.38 : x
  2. Step 2: Convert to fraction form
    11,138.38/15,370.96 = 6,170.38/x
  3. Step 3: Cross multiply
    11,138.38x = 15,370.96 × 6,170.38
  4. Step 4: Simplify right side
    11,138.38x = 94,844,664.16
  5. Step 5: Solve for x
    x = 94,844,664.16/11,138.38
  6. Step 6: Final answer
    x = 8,515.12

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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.