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Finding the Fourth Proportional to 10,691.90, 14,754.36 and 5,846.54

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Solution

The fourth proportional to 10,691.90, 14,754.36 and 5,846.54 is: 8,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.90 : 14,754.36 = 5,846.54 : x
  2. Step 2: Convert to fraction form
    10,691.90/14,754.36 = 5,846.54/x
  3. Step 3: Cross multiply
    10,691.90x = 14,754.36 × 5,846.54
  4. Step 4: Simplify right side
    10,691.90x = 86,261,922.86
  5. Step 5: Solve for x
    x = 86,261,922.86/10,691.90
  6. Step 6: Final answer
    x = 8,067.97

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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.