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Finding the Fourth Proportional to 11,604.57, 16,012.67 and 6,890.73

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Solution

The fourth proportional to 11,604.57, 16,012.67 and 6,890.73 is: 9,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.57 : 16,012.67 = 6,890.73 : x
  2. Step 2: Convert to fraction form
    11,604.57/16,012.67 = 6,890.73/x
  3. Step 3: Cross multiply
    11,604.57x = 16,012.67 × 6,890.73
  4. Step 4: Simplify right side
    11,604.57x = 110,338,951.10
  5. Step 5: Solve for x
    x = 110,338,951.10/11,604.57
  6. Step 6: Final answer
    x = 9,508.23

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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.