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Finding the Fourth Proportional to 7,346.96, 10,138.74 and 3,989.73

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Solution

The fourth proportional to 7,346.96, 10,138.74 and 3,989.73 is: 5,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.96 : 10,138.74 = 3,989.73 : x
  2. Step 2: Convert to fraction form
    7,346.96/10,138.74 = 3,989.73/x
  3. Step 3: Cross multiply
    7,346.96x = 10,138.74 × 3,989.73
  4. Step 4: Simplify right side
    7,346.96x = 40,450,835.14
  5. Step 5: Solve for x
    x = 40,450,835.14/7,346.96
  6. Step 6: Final answer
    x = 5,505.80

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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.