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Finding the Fourth Proportional to 11,141.38, 15,375.10 and 6,173.38

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Solution

The fourth proportional to 11,141.38, 15,375.10 and 6,173.38 is: 8,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.38 : 15,375.10 = 6,173.38 : x
  2. Step 2: Convert to fraction form
    11,141.38/15,375.10 = 6,173.38/x
  3. Step 3: Cross multiply
    11,141.38x = 15,375.10 × 6,173.38
  4. Step 4: Simplify right side
    11,141.38x = 94,916,334.84
  5. Step 5: Solve for x
    x = 94,916,334.84/11,141.38
  6. Step 6: Final answer
    x = 8,519.26

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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.