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Finding the Fourth Proportional to 11,902.92, 16,424.10 and 7,425.96

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Solution

The fourth proportional to 11,902.92, 16,424.10 and 7,425.96 is: 10,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.92 : 16,424.10 = 7,425.96 : x
  2. Step 2: Convert to fraction form
    11,902.92/16,424.10 = 7,425.96/x
  3. Step 3: Cross multiply
    11,902.92x = 16,424.10 × 7,425.96
  4. Step 4: Simplify right side
    11,902.92x = 121,964,709.64
  5. Step 5: Solve for x
    x = 121,964,709.64/11,902.92
  6. Step 6: Final answer
    x = 10,246.62

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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.