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Finding the Fourth Proportional to 11,162.01, 16,743.06 and 3,766.50

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Solution

The fourth proportional to 11,162.01, 16,743.06 and 3,766.50 is: 5,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.01 : 16,743.06 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    11,162.01/16,743.06 = 3,766.50/x
  3. Step 3: Cross multiply
    11,162.01x = 16,743.06 × 3,766.50
  4. Step 4: Simplify right side
    11,162.01x = 63,062,735.49
  5. Step 5: Solve for x
    x = 63,062,735.49/11,162.01
  6. Step 6: Final answer
    x = 5,649.77

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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.