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Finding the Fourth Proportional to 10,679.25, 16,033.46 and 7,171.54

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Solution

The fourth proportional to 10,679.25, 16,033.46 and 7,171.54 is: 10,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.25 : 16,033.46 = 7,171.54 : x
  2. Step 2: Convert to fraction form
    10,679.25/16,033.46 = 7,171.54/x
  3. Step 3: Cross multiply
    10,679.25x = 16,033.46 × 7,171.54
  4. Step 4: Simplify right side
    10,679.25x = 114,984,599.73
  5. Step 5: Solve for x
    x = 114,984,599.73/10,679.25
  6. Step 6: Final answer
    x = 10,767.10

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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.