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Finding the Fourth Proportional to 11,024.72, 16,523.04 and 5,168.44

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Solution

The fourth proportional to 11,024.72, 16,523.04 and 5,168.44 is: 7,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.72 : 16,523.04 = 5,168.44 : x
  2. Step 2: Convert to fraction form
    11,024.72/16,523.04 = 5,168.44/x
  3. Step 3: Cross multiply
    11,024.72x = 16,523.04 × 5,168.44
  4. Step 4: Simplify right side
    11,024.72x = 85,398,340.86
  5. Step 5: Solve for x
    x = 85,398,340.86/11,024.72
  6. Step 6: Final answer
    x = 7,746.08

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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.