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Finding the Fourth Proportional to 11,744.01, 17,615.97 and 2,978.90

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Solution

The fourth proportional to 11,744.01, 17,615.97 and 2,978.90 is: 4,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.01 : 17,615.97 = 2,978.90 : x
  2. Step 2: Convert to fraction form
    11,744.01/17,615.97 = 2,978.90/x
  3. Step 3: Cross multiply
    11,744.01x = 17,615.97 × 2,978.90
  4. Step 4: Simplify right side
    11,744.01x = 52,476,213.03
  5. Step 5: Solve for x
    x = 52,476,213.03/11,744.01
  6. Step 6: Final answer
    x = 4,468.34

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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.