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Finding the Fourth Proportional to 8,171.62, 11,276.90 and 4,634.76

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Solution

The fourth proportional to 8,171.62, 11,276.90 and 4,634.76 is: 6,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.62 : 11,276.90 = 4,634.76 : x
  2. Step 2: Convert to fraction form
    8,171.62/11,276.90 = 4,634.76/x
  3. Step 3: Cross multiply
    8,171.62x = 11,276.90 × 4,634.76
  4. Step 4: Simplify right side
    8,171.62x = 52,265,725.04
  5. Step 5: Solve for x
    x = 52,265,725.04/8,171.62
  6. Step 6: Final answer
    x = 6,396.01

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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.