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Finding the Fourth Proportional to 10,996.70, 16,456.12 and 6,838.68

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Solution

The fourth proportional to 10,996.70, 16,456.12 and 6,838.68 is: 10,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.70 : 16,456.12 = 6,838.68 : x
  2. Step 2: Convert to fraction form
    10,996.70/16,456.12 = 6,838.68/x
  3. Step 3: Cross multiply
    10,996.70x = 16,456.12 × 6,838.68
  4. Step 4: Simplify right side
    10,996.70x = 112,538,138.72
  5. Step 5: Solve for x
    x = 112,538,138.72/10,996.70
  6. Step 6: Final answer
    x = 10,233.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.