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Finding the Fourth Proportional to 11,141.31, 15,375.22 and 6,105.24

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Solution

The fourth proportional to 11,141.31, 15,375.22 and 6,105.24 is: 8,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.31 : 15,375.22 = 6,105.24 : x
  2. Step 2: Convert to fraction form
    11,141.31/15,375.22 = 6,105.24/x
  3. Step 3: Cross multiply
    11,141.31x = 15,375.22 × 6,105.24
  4. Step 4: Simplify right side
    11,141.31x = 93,869,392.89
  5. Step 5: Solve for x
    x = 93,869,392.89/11,141.31
  6. Step 6: Final answer
    x = 8,425.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.