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Finding the Fourth Proportional to 11,422.72, 17,128.86 and 4,754.44

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Solution

The fourth proportional to 11,422.72, 17,128.86 and 4,754.44 is: 7,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.72 : 17,128.86 = 4,754.44 : x
  2. Step 2: Convert to fraction form
    11,422.72/17,128.86 = 4,754.44/x
  3. Step 3: Cross multiply
    11,422.72x = 17,128.86 × 4,754.44
  4. Step 4: Simplify right side
    11,422.72x = 81,438,137.14
  5. Step 5: Solve for x
    x = 81,438,137.14/11,422.72
  6. Step 6: Final answer
    x = 7,129.49

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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.