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Finding the Fourth Proportional to 11,643.01, 16,086.14 and 8,121.94

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Solution

The fourth proportional to 11,643.01, 16,086.14 and 8,121.94 is: 11,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.01 : 16,086.14 = 8,121.94 : x
  2. Step 2: Convert to fraction form
    11,643.01/16,086.14 = 8,121.94/x
  3. Step 3: Cross multiply
    11,643.01x = 16,086.14 × 8,121.94
  4. Step 4: Simplify right side
    11,643.01x = 130,650,613.54
  5. Step 5: Solve for x
    x = 130,650,613.54/11,643.01
  6. Step 6: Final answer
    x = 11,221.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.