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Finding the Fourth Proportional to 11,351.93, 17,024.22 and 4,138.05

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Solution

The fourth proportional to 11,351.93, 17,024.22 and 4,138.05 is: 6,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.93 : 17,024.22 = 4,138.05 : x
  2. Step 2: Convert to fraction form
    11,351.93/17,024.22 = 4,138.05/x
  3. Step 3: Cross multiply
    11,351.93x = 17,024.22 × 4,138.05
  4. Step 4: Simplify right side
    11,351.93x = 70,447,073.57
  5. Step 5: Solve for x
    x = 70,447,073.57/11,351.93
  6. Step 6: Final answer
    x = 6,205.74

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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.