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Finding the Fourth Proportional to 11,771, 16,245.42 and 6,803

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Solution

The fourth proportional to 11,771, 16,245.42 and 6,803 is: 9,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771 : 16,245.42 = 6,803 : x
  2. Step 2: Convert to fraction form
    11,771/16,245.42 = 6,803/x
  3. Step 3: Cross multiply
    11,771x = 16,245.42 × 6,803
  4. Step 4: Simplify right side
    11,771x = 110,517,592.26
  5. Step 5: Solve for x
    x = 110,517,592.26/11,771
  6. Step 6: Final answer
    x = 9,388.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.