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Finding the Fourth Proportional to 7,634.18, 11,431.82 and 5,029.22

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Solution

The fourth proportional to 7,634.18, 11,431.82 and 5,029.22 is: 7,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.18 : 11,431.82 = 5,029.22 : x
  2. Step 2: Convert to fraction form
    7,634.18/11,431.82 = 5,029.22/x
  3. Step 3: Cross multiply
    7,634.18x = 11,431.82 × 5,029.22
  4. Step 4: Simplify right side
    7,634.18x = 57,493,137.78
  5. Step 5: Solve for x
    x = 57,493,137.78/7,634.18
  6. Step 6: Final answer
    x = 7,531.02

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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.