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Finding the Fourth Proportional to 11,008, 16,512 and 6,906.88

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Solution

The fourth proportional to 11,008, 16,512 and 6,906.88 is: 10,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,008 : 16,512 = 6,906.88 : x
  2. Step 2: Convert to fraction form
    11,008/16,512 = 6,906.88/x
  3. Step 3: Cross multiply
    11,008x = 16,512 × 6,906.88
  4. Step 4: Simplify right side
    11,008x = 114,046,402.56
  5. Step 5: Solve for x
    x = 114,046,402.56/11,008
  6. Step 6: Final answer
    x = 10,360.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.