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Finding the Fourth Proportional to 11,601.98, 16,010.74 and 6,296.80

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Solution

The fourth proportional to 11,601.98, 16,010.74 and 6,296.80 is: 8,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.98 : 16,010.74 = 6,296.80 : x
  2. Step 2: Convert to fraction form
    11,601.98/16,010.74 = 6,296.80/x
  3. Step 3: Cross multiply
    11,601.98x = 16,010.74 × 6,296.80
  4. Step 4: Simplify right side
    11,601.98x = 100,816,371.86
  5. Step 5: Solve for x
    x = 100,816,371.86/11,601.98
  6. Step 6: Final answer
    x = 8,689.58

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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.