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Finding the Fourth Proportional to 11,729.21, 16,186 and 6,693.34

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Solution

The fourth proportional to 11,729.21, 16,186 and 6,693.34 is: 9,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.21 : 16,186 = 6,693.34 : x
  2. Step 2: Convert to fraction form
    11,729.21/16,186 = 6,693.34/x
  3. Step 3: Cross multiply
    11,729.21x = 16,186 × 6,693.34
  4. Step 4: Simplify right side
    11,729.21x = 108,338,401.24
  5. Step 5: Solve for x
    x = 108,338,401.24/11,729.21
  6. Step 6: Final answer
    x = 9,236.63

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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.