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Finding the Fourth Proportional to 11,005.38, 15,190.14 and 6,757.46

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Solution

The fourth proportional to 11,005.38, 15,190.14 and 6,757.46 is: 9,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.38 : 15,190.14 = 6,757.46 : x
  2. Step 2: Convert to fraction form
    11,005.38/15,190.14 = 6,757.46/x
  3. Step 3: Cross multiply
    11,005.38x = 15,190.14 × 6,757.46
  4. Step 4: Simplify right side
    11,005.38x = 102,646,763.44
  5. Step 5: Solve for x
    x = 102,646,763.44/11,005.38
  6. Step 6: Final answer
    x = 9,326.96

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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.