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Finding the Fourth Proportional to 11,832.68, 16,328.64 and 6,527.44

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Solution

The fourth proportional to 11,832.68, 16,328.64 and 6,527.44 is: 9,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.68 : 16,328.64 = 6,527.44 : x
  2. Step 2: Convert to fraction form
    11,832.68/16,328.64 = 6,527.44/x
  3. Step 3: Cross multiply
    11,832.68x = 16,328.64 × 6,527.44
  4. Step 4: Simplify right side
    11,832.68x = 106,584,217.88
  5. Step 5: Solve for x
    x = 106,584,217.88/11,832.68
  6. Step 6: Final answer
    x = 9,007.61

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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.