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Finding the Fourth Proportional to 11,627.44, 17,441.16 and 3,419.44

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Solution

The fourth proportional to 11,627.44, 17,441.16 and 3,419.44 is: 5,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.44 : 17,441.16 = 3,419.44 : x
  2. Step 2: Convert to fraction form
    11,627.44/17,441.16 = 3,419.44/x
  3. Step 3: Cross multiply
    11,627.44x = 17,441.16 × 3,419.44
  4. Step 4: Simplify right side
    11,627.44x = 59,638,943.72
  5. Step 5: Solve for x
    x = 59,638,943.72/11,627.44
  6. Step 6: Final answer
    x = 5,129.16

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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.