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Finding the Fourth Proportional to 7,282.56, 10,049.22 and 4,138.14

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Solution

The fourth proportional to 7,282.56, 10,049.22 and 4,138.14 is: 5,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.56 : 10,049.22 = 4,138.14 : x
  2. Step 2: Convert to fraction form
    7,282.56/10,049.22 = 4,138.14/x
  3. Step 3: Cross multiply
    7,282.56x = 10,049.22 × 4,138.14
  4. Step 4: Simplify right side
    7,282.56x = 41,585,079.25
  5. Step 5: Solve for x
    x = 41,585,079.25/7,282.56
  6. Step 6: Final answer
    x = 5,710.23

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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.