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Finding the Fourth Proportional to 11,175.98, 16,764 and 4,157.53

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Solution

The fourth proportional to 11,175.98, 16,764 and 4,157.53 is: 6,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.98 : 16,764 = 4,157.53 : x
  2. Step 2: Convert to fraction form
    11,175.98/16,764 = 4,157.53/x
  3. Step 3: Cross multiply
    11,175.98x = 16,764 × 4,157.53
  4. Step 4: Simplify right side
    11,175.98x = 69,696,832.92
  5. Step 5: Solve for x
    x = 69,696,832.92/11,175.98
  6. Step 6: Final answer
    x = 6,236.31

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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.