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Finding the Fourth Proportional to 7,825.26, 11,738.04 and 2,560.26

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Solution

The fourth proportional to 7,825.26, 11,738.04 and 2,560.26 is: 3,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.26 : 11,738.04 = 2,560.26 : x
  2. Step 2: Convert to fraction form
    7,825.26/11,738.04 = 2,560.26/x
  3. Step 3: Cross multiply
    7,825.26x = 11,738.04 × 2,560.26
  4. Step 4: Simplify right side
    7,825.26x = 30,052,434.29
  5. Step 5: Solve for x
    x = 30,052,434.29/7,825.26
  6. Step 6: Final answer
    x = 3,840.44

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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.