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Finding the Fourth Proportional to 11,175.44, 16,757.98 and 6,496.78

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Solution

The fourth proportional to 11,175.44, 16,757.98 and 6,496.78 is: 9,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.44 : 16,757.98 = 6,496.78 : x
  2. Step 2: Convert to fraction form
    11,175.44/16,757.98 = 6,496.78/x
  3. Step 3: Cross multiply
    11,175.44x = 16,757.98 × 6,496.78
  4. Step 4: Simplify right side
    11,175.44x = 108,872,909.30
  5. Step 5: Solve for x
    x = 108,872,909.30/11,175.44
  6. Step 6: Final answer
    x = 9,742.16

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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.