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Finding the Fourth Proportional to 11,632.91, 16,054.07 and 6,327.63

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Solution

The fourth proportional to 11,632.91, 16,054.07 and 6,327.63 is: 8,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.91 : 16,054.07 = 6,327.63 : x
  2. Step 2: Convert to fraction form
    11,632.91/16,054.07 = 6,327.63/x
  3. Step 3: Cross multiply
    11,632.91x = 16,054.07 × 6,327.63
  4. Step 4: Simplify right side
    11,632.91x = 101,584,183.32
  5. Step 5: Solve for x
    x = 101,584,183.32/11,632.91
  6. Step 6: Final answer
    x = 8,732.49

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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.