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Finding the Fourth Proportional to 11,138.36, 16,711.05 and 6,700.88

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Solution

The fourth proportional to 11,138.36, 16,711.05 and 6,700.88 is: 10,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.36 : 16,711.05 = 6,700.88 : x
  2. Step 2: Convert to fraction form
    11,138.36/16,711.05 = 6,700.88/x
  3. Step 3: Cross multiply
    11,138.36x = 16,711.05 × 6,700.88
  4. Step 4: Simplify right side
    11,138.36x = 111,978,640.42
  5. Step 5: Solve for x
    x = 111,978,640.42/11,138.36
  6. Step 6: Final answer
    x = 10,053.42

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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.