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Finding the Fourth Proportional to 11,422.97, 17,134.97 and 4,027.50

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Solution

The fourth proportional to 11,422.97, 17,134.97 and 4,027.50 is: 6,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.97 : 17,134.97 = 4,027.50 : x
  2. Step 2: Convert to fraction form
    11,422.97/17,134.97 = 4,027.50/x
  3. Step 3: Cross multiply
    11,422.97x = 17,134.97 × 4,027.50
  4. Step 4: Simplify right side
    11,422.97x = 69,011,071.54
  5. Step 5: Solve for x
    x = 69,011,071.54/11,422.97
  6. Step 6: Final answer
    x = 6,041.43

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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.