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Finding the Fourth Proportional to 11,601.41, 16,009.94 and 6,296.22

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Solution

The fourth proportional to 11,601.41, 16,009.94 and 6,296.22 is: 8,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.41 : 16,009.94 = 6,296.22 : x
  2. Step 2: Convert to fraction form
    11,601.41/16,009.94 = 6,296.22/x
  3. Step 3: Cross multiply
    11,601.41x = 16,009.94 × 6,296.22
  4. Step 4: Simplify right side
    11,601.41x = 100,802,120.17
  5. Step 5: Solve for x
    x = 100,802,120.17/11,601.41
  6. Step 6: Final answer
    x = 8,688.79

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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.