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Finding the Fourth Proportional to 7,438.43, 11,142.97 and 5,353.49

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Solution

The fourth proportional to 7,438.43, 11,142.97 and 5,353.49 is: 8,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.43 : 11,142.97 = 5,353.49 : x
  2. Step 2: Convert to fraction form
    7,438.43/11,142.97 = 5,353.49/x
  3. Step 3: Cross multiply
    7,438.43x = 11,142.97 × 5,353.49
  4. Step 4: Simplify right side
    7,438.43x = 59,653,792.94
  5. Step 5: Solve for x
    x = 59,653,792.94/7,438.43
  6. Step 6: Final answer
    x = 8,019.67

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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.