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Finding the Fourth Proportional to 11,727.60, 16,183.44 and 8,928.24

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Solution

The fourth proportional to 11,727.60, 16,183.44 and 8,928.24 is: 12,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.60 : 16,183.44 = 8,928.24 : x
  2. Step 2: Convert to fraction form
    11,727.60/16,183.44 = 8,928.24/x
  3. Step 3: Cross multiply
    11,727.60x = 16,183.44 × 8,928.24
  4. Step 4: Simplify right side
    11,727.60x = 144,489,636.35
  5. Step 5: Solve for x
    x = 144,489,636.35/11,727.60
  6. Step 6: Final answer
    x = 12,320.48

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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.