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Finding the Fourth Proportional to 8,995.88, 13,494.36 and 3,800

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Solution

The fourth proportional to 8,995.88, 13,494.36 and 3,800 is: 5,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,995.88 : 13,494.36 = 3,800 : x
  2. Step 2: Convert to fraction form
    8,995.88/13,494.36 = 3,800/x
  3. Step 3: Cross multiply
    8,995.88x = 13,494.36 × 3,800
  4. Step 4: Simplify right side
    8,995.88x = 51,278,568
  5. Step 5: Solve for x
    x = 51,278,568/8,995.88
  6. Step 6: Final answer
    x = 5,700.23

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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.