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Finding the Fourth Proportional to 11,729.32, 16,188.07 and 7,194.71

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Solution

The fourth proportional to 11,729.32, 16,188.07 and 7,194.71 is: 9,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.32 : 16,188.07 = 7,194.71 : x
  2. Step 2: Convert to fraction form
    11,729.32/16,188.07 = 7,194.71/x
  3. Step 3: Cross multiply
    11,729.32x = 16,188.07 × 7,194.71
  4. Step 4: Simplify right side
    11,729.32x = 116,468,469.11
  5. Step 5: Solve for x
    x = 116,468,469.11/11,729.32
  6. Step 6: Final answer
    x = 9,929.69

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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.