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Finding the Fourth Proportional to 8,171.84, 11,276.49 and 4,635.62

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Solution

The fourth proportional to 8,171.84, 11,276.49 and 4,635.62 is: 6,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.84 : 11,276.49 = 4,635.62 : x
  2. Step 2: Convert to fraction form
    8,171.84/11,276.49 = 4,635.62/x
  3. Step 3: Cross multiply
    8,171.84x = 11,276.49 × 4,635.62
  4. Step 4: Simplify right side
    8,171.84x = 52,273,522.57
  5. Step 5: Solve for x
    x = 52,273,522.57/8,171.84
  6. Step 6: Final answer
    x = 6,396.79

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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.