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Finding the Fourth Proportional to 11,764, 16,234.34 and 6,796

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Solution

The fourth proportional to 11,764, 16,234.34 and 6,796 is: 9,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764 : 16,234.34 = 6,796 : x
  2. Step 2: Convert to fraction form
    11,764/16,234.34 = 6,796/x
  3. Step 3: Cross multiply
    11,764x = 16,234.34 × 6,796
  4. Step 4: Simplify right side
    11,764x = 110,328,574.64
  5. Step 5: Solve for x
    x = 110,328,574.64/11,764
  6. Step 6: Final answer
    x = 9,378.49

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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.