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Finding the Fourth Proportional to 11,743, 16,205.34 and 6,777.88

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Solution

The fourth proportional to 11,743, 16,205.34 and 6,777.88 is: 9,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743 : 16,205.34 = 6,777.88 : x
  2. Step 2: Convert to fraction form
    11,743/16,205.34 = 6,777.88/x
  3. Step 3: Cross multiply
    11,743x = 16,205.34 × 6,777.88
  4. Step 4: Simplify right side
    11,743x = 109,837,849.88
  5. Step 5: Solve for x
    x = 109,837,849.88/11,743
  6. Step 6: Final answer
    x = 9,353.47

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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.