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Finding the Fourth Proportional to 11,694.72, 17,542.44 and 5,117.52

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Solution

The fourth proportional to 11,694.72, 17,542.44 and 5,117.52 is: 7,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.72 : 17,542.44 = 5,117.52 : x
  2. Step 2: Convert to fraction form
    11,694.72/17,542.44 = 5,117.52/x
  3. Step 3: Cross multiply
    11,694.72x = 17,542.44 × 5,117.52
  4. Step 4: Simplify right side
    11,694.72x = 89,773,787.55
  5. Step 5: Solve for x
    x = 89,773,787.55/11,694.72
  6. Step 6: Final answer
    x = 7,676.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.