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Finding the Fourth Proportional to 11,632.80, 16,052.94 and 6,327.84

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Solution

The fourth proportional to 11,632.80, 16,052.94 and 6,327.84 is: 8,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.80 : 16,052.94 = 6,327.84 : x
  2. Step 2: Convert to fraction form
    11,632.80/16,052.94 = 6,327.84/x
  3. Step 3: Cross multiply
    11,632.80x = 16,052.94 × 6,327.84
  4. Step 4: Simplify right side
    11,632.80x = 101,580,435.85
  5. Step 5: Solve for x
    x = 101,580,435.85/11,632.80
  6. Step 6: Final answer
    x = 8,732.24

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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.