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Finding the Fourth Proportional to 11,092.50, 16,629.44 and 4,523.40

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Solution

The fourth proportional to 11,092.50, 16,629.44 and 4,523.40 is: 6,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.50 : 16,629.44 = 4,523.40 : x
  2. Step 2: Convert to fraction form
    11,092.50/16,629.44 = 4,523.40/x
  3. Step 3: Cross multiply
    11,092.50x = 16,629.44 × 4,523.40
  4. Step 4: Simplify right side
    11,092.50x = 75,221,586.28
  5. Step 5: Solve for x
    x = 75,221,586.28/11,092.50
  6. Step 6: Final answer
    x = 6,781.30

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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.