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Finding the Fourth Proportional to 11,732.76, 16,190.64 and 6,427.44

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Solution

The fourth proportional to 11,732.76, 16,190.64 and 6,427.44 is: 8,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.76 : 16,190.64 = 6,427.44 : x
  2. Step 2: Convert to fraction form
    11,732.76/16,190.64 = 6,427.44/x
  3. Step 3: Cross multiply
    11,732.76x = 16,190.64 × 6,427.44
  4. Step 4: Simplify right side
    11,732.76x = 104,064,367.16
  5. Step 5: Solve for x
    x = 104,064,367.16/11,732.76
  6. Step 6: Final answer
    x = 8,869.56

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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.