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Finding the Fourth Proportional to 11,905.21, 16,442.64 and 8,121.88

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Solution

The fourth proportional to 11,905.21, 16,442.64 and 8,121.88 is: 11,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.21 : 16,442.64 = 8,121.88 : x
  2. Step 2: Convert to fraction form
    11,905.21/16,442.64 = 8,121.88/x
  3. Step 3: Cross multiply
    11,905.21x = 16,442.64 × 8,121.88
  4. Step 4: Simplify right side
    11,905.21x = 133,545,148.96
  5. Step 5: Solve for x
    x = 133,545,148.96/11,905.21
  6. Step 6: Final answer
    x = 11,217.37

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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.