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Finding the Fourth Proportional to 11,729.76, 16,186.92 and 6,424.26

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Solution

The fourth proportional to 11,729.76, 16,186.92 and 6,424.26 is: 8,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.76 : 16,186.92 = 6,424.26 : x
  2. Step 2: Convert to fraction form
    11,729.76/16,186.92 = 6,424.26/x
  3. Step 3: Cross multiply
    11,729.76x = 16,186.92 × 6,424.26
  4. Step 4: Simplify right side
    11,729.76x = 103,988,982.68
  5. Step 5: Solve for x
    x = 103,988,982.68/11,729.76
  6. Step 6: Final answer
    x = 8,865.40

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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.