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Finding the Fourth Proportional to 11,752.27, 17,626.56 and 3,431.41

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Solution

The fourth proportional to 11,752.27, 17,626.56 and 3,431.41 is: 5,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.27 : 17,626.56 = 3,431.41 : x
  2. Step 2: Convert to fraction form
    11,752.27/17,626.56 = 3,431.41/x
  3. Step 3: Cross multiply
    11,752.27x = 17,626.56 × 3,431.41
  4. Step 4: Simplify right side
    11,752.27x = 60,483,954.25
  5. Step 5: Solve for x
    x = 60,483,954.25/11,752.27
  6. Step 6: Final answer
    x = 5,146.58

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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.