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Finding the Fourth Proportional to 11,168.64, 16,744.32 and 5,328

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Solution

The fourth proportional to 11,168.64, 16,744.32 and 5,328 is: 7,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.64 : 16,744.32 = 5,328 : x
  2. Step 2: Convert to fraction form
    11,168.64/16,744.32 = 5,328/x
  3. Step 3: Cross multiply
    11,168.64x = 16,744.32 × 5,328
  4. Step 4: Simplify right side
    11,168.64x = 89,213,736.96
  5. Step 5: Solve for x
    x = 89,213,736.96/11,168.64
  6. Step 6: Final answer
    x = 7,987.88

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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.