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Finding the Fourth Proportional to 7,138.40, 10,703.94 and 2,757.12

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Solution

The fourth proportional to 7,138.40, 10,703.94 and 2,757.12 is: 4,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.40 : 10,703.94 = 2,757.12 : x
  2. Step 2: Convert to fraction form
    7,138.40/10,703.94 = 2,757.12/x
  3. Step 3: Cross multiply
    7,138.40x = 10,703.94 × 2,757.12
  4. Step 4: Simplify right side
    7,138.40x = 29,512,047.05
  5. Step 5: Solve for x
    x = 29,512,047.05/7,138.40
  6. Step 6: Final answer
    x = 4,134.27

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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.