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Finding the Fourth Proportional to 11,682.72, 17,523.60 and 6,427.92

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Solution

The fourth proportional to 11,682.72, 17,523.60 and 6,427.92 is: 9,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.72 : 17,523.60 = 6,427.92 : x
  2. Step 2: Convert to fraction form
    11,682.72/17,523.60 = 6,427.92/x
  3. Step 3: Cross multiply
    11,682.72x = 17,523.60 × 6,427.92
  4. Step 4: Simplify right side
    11,682.72x = 112,640,298.91
  5. Step 5: Solve for x
    x = 112,640,298.91/11,682.72
  6. Step 6: Final answer
    x = 9,641.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.