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Finding the Fourth Proportional to 7,742.44, 10,680.42 and 5,380.48

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Solution

The fourth proportional to 7,742.44, 10,680.42 and 5,380.48 is: 7,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.44 : 10,680.42 = 5,380.48 : x
  2. Step 2: Convert to fraction form
    7,742.44/10,680.42 = 5,380.48/x
  3. Step 3: Cross multiply
    7,742.44x = 10,680.42 × 5,380.48
  4. Step 4: Simplify right side
    7,742.44x = 57,465,786.20
  5. Step 5: Solve for x
    x = 57,465,786.20/7,742.44
  6. Step 6: Final answer
    x = 7,422.18

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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.