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Finding the Fourth Proportional to 10,761.92, 16,143.20 and 4,189.60

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Solution

The fourth proportional to 10,761.92, 16,143.20 and 4,189.60 is: 6,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.92 : 16,143.20 = 4,189.60 : x
  2. Step 2: Convert to fraction form
    10,761.92/16,143.20 = 4,189.60/x
  3. Step 3: Cross multiply
    10,761.92x = 16,143.20 × 4,189.60
  4. Step 4: Simplify right side
    10,761.92x = 67,633,550.72
  5. Step 5: Solve for x
    x = 67,633,550.72/10,761.92
  6. Step 6: Final answer
    x = 6,284.52

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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.