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Finding the Fourth Proportional to 11,601.69, 16,009.79 and 6,296.46

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Solution

The fourth proportional to 11,601.69, 16,009.79 and 6,296.46 is: 8,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.69 : 16,009.79 = 6,296.46 : x
  2. Step 2: Convert to fraction form
    11,601.69/16,009.79 = 6,296.46/x
  3. Step 3: Cross multiply
    11,601.69x = 16,009.79 × 6,296.46
  4. Step 4: Simplify right side
    11,601.69x = 100,804,970.86
  5. Step 5: Solve for x
    x = 100,804,970.86/11,601.69
  6. Step 6: Final answer
    x = 8,688.82

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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.