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Finding the Fourth Proportional to 11,576.31, 15,973.56 and 6,794.43

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Solution

The fourth proportional to 11,576.31, 15,973.56 and 6,794.43 is: 9,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.31 : 15,973.56 = 6,794.43 : x
  2. Step 2: Convert to fraction form
    11,576.31/15,973.56 = 6,794.43/x
  3. Step 3: Cross multiply
    11,576.31x = 15,973.56 × 6,794.43
  4. Step 4: Simplify right side
    11,576.31x = 108,531,235.27
  5. Step 5: Solve for x
    x = 108,531,235.27/11,576.31
  6. Step 6: Final answer
    x = 9,375.29

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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.