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Finding the Fourth Proportional to 7,134.95, 10,708.67 and 2,755.49

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Solution

The fourth proportional to 7,134.95, 10,708.67 and 2,755.49 is: 4,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.95 : 10,708.67 = 2,755.49 : x
  2. Step 2: Convert to fraction form
    7,134.95/10,708.67 = 2,755.49/x
  3. Step 3: Cross multiply
    7,134.95x = 10,708.67 × 2,755.49
  4. Step 4: Simplify right side
    7,134.95x = 29,507,586.44
  5. Step 5: Solve for x
    x = 29,507,586.44/7,134.95
  6. Step 6: Final answer
    x = 4,135.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.