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Finding the Fourth Proportional to 11,993.48, 16,550.96 and 6,688.16

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Solution

The fourth proportional to 11,993.48, 16,550.96 and 6,688.16 is: 9,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.48 : 16,550.96 = 6,688.16 : x
  2. Step 2: Convert to fraction form
    11,993.48/16,550.96 = 6,688.16/x
  3. Step 3: Cross multiply
    11,993.48x = 16,550.96 × 6,688.16
  4. Step 4: Simplify right side
    11,993.48x = 110,695,468.63
  5. Step 5: Solve for x
    x = 110,695,468.63/11,993.48
  6. Step 6: Final answer
    x = 9,229.64

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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.