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Finding the Fourth Proportional to 8,171.21, 11,276.19 and 4,634.44

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Solution

The fourth proportional to 8,171.21, 11,276.19 and 4,634.44 is: 6,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.21 : 11,276.19 = 4,634.44 : x
  2. Step 2: Convert to fraction form
    8,171.21/11,276.19 = 4,634.44/x
  3. Step 3: Cross multiply
    8,171.21x = 11,276.19 × 4,634.44
  4. Step 4: Simplify right side
    8,171.21x = 52,258,825.98
  5. Step 5: Solve for x
    x = 52,258,825.98/8,171.21
  6. Step 6: Final answer
    x = 6,395.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.