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Finding the Fourth Proportional to 11,451.60, 17,162.37 and 8,299.62

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Solution

The fourth proportional to 11,451.60, 17,162.37 and 8,299.62 is: 12,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.60 : 17,162.37 = 8,299.62 : x
  2. Step 2: Convert to fraction form
    11,451.60/17,162.37 = 8,299.62/x
  3. Step 3: Cross multiply
    11,451.60x = 17,162.37 × 8,299.62
  4. Step 4: Simplify right side
    11,451.60x = 142,441,149.30
  5. Step 5: Solve for x
    x = 142,441,149.30/11,451.60
  6. Step 6: Final answer
    x = 12,438.54

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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.