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Finding the Fourth Proportional to 6,954.96, 10,438.92 and 5,749.68

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Solution

The fourth proportional to 6,954.96, 10,438.92 and 5,749.68 is: 8,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.96 : 10,438.92 = 5,749.68 : x
  2. Step 2: Convert to fraction form
    6,954.96/10,438.92 = 5,749.68/x
  3. Step 3: Cross multiply
    6,954.96x = 10,438.92 × 5,749.68
  4. Step 4: Simplify right side
    6,954.96x = 60,020,449.55
  5. Step 5: Solve for x
    x = 60,020,449.55/6,954.96
  6. Step 6: Final answer
    x = 8,629.88

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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.