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Finding the Fourth Proportional to 11,601.62, 16,010.28 and 6,296.44

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Solution

The fourth proportional to 11,601.62, 16,010.28 and 6,296.44 is: 8,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.62 : 16,010.28 = 6,296.44 : x
  2. Step 2: Convert to fraction form
    11,601.62/16,010.28 = 6,296.44/x
  3. Step 3: Cross multiply
    11,601.62x = 16,010.28 × 6,296.44
  4. Step 4: Simplify right side
    11,601.62x = 100,807,655.87
  5. Step 5: Solve for x
    x = 100,807,655.87/11,601.62
  6. Step 6: Final answer
    x = 8,689.11

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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.