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Finding the Fourth Proportional to 11,627.16, 17,444.34 and 4,029.09

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Solution

The fourth proportional to 11,627.16, 17,444.34 and 4,029.09 is: 6,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.16 : 17,444.34 = 4,029.09 : x
  2. Step 2: Convert to fraction form
    11,627.16/17,444.34 = 4,029.09/x
  3. Step 3: Cross multiply
    11,627.16x = 17,444.34 × 4,029.09
  4. Step 4: Simplify right side
    11,627.16x = 70,284,815.85
  5. Step 5: Solve for x
    x = 70,284,815.85/11,627.16
  6. Step 6: Final answer
    x = 6,044.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.