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Finding the Fourth Proportional to 7,367.92, 11,052.64 and 2,438.46

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Solution

The fourth proportional to 7,367.92, 11,052.64 and 2,438.46 is: 3,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.92 : 11,052.64 = 2,438.46 : x
  2. Step 2: Convert to fraction form
    7,367.92/11,052.64 = 2,438.46/x
  3. Step 3: Cross multiply
    7,367.92x = 11,052.64 × 2,438.46
  4. Step 4: Simplify right side
    7,367.92x = 26,951,420.53
  5. Step 5: Solve for x
    x = 26,951,420.53/7,367.92
  6. Step 6: Final answer
    x = 3,657.94

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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.