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Finding the Fourth Proportional to 11,924.73, 16,454.91 and 6,890.57

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Solution

The fourth proportional to 11,924.73, 16,454.91 and 6,890.57 is: 9,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.73 : 16,454.91 = 6,890.57 : x
  2. Step 2: Convert to fraction form
    11,924.73/16,454.91 = 6,890.57/x
  3. Step 3: Cross multiply
    11,924.73x = 16,454.91 × 6,890.57
  4. Step 4: Simplify right side
    11,924.73x = 113,383,754.82
  5. Step 5: Solve for x
    x = 113,383,754.82/11,924.73
  6. Step 6: Final answer
    x = 9,508.29

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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.