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Finding the Fourth Proportional to 25,993.59, 38,983.44 and 7,272.46

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Solution

The fourth proportional to 25,993.59, 38,983.44 and 7,272.46 is: 10,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.59 : 38,983.44 = 7,272.46 : x
  2. Step 2: Convert to fraction form
    25,993.59/38,983.44 = 7,272.46/x
  3. Step 3: Cross multiply
    25,993.59x = 38,983.44 × 7,272.46
  4. Step 4: Simplify right side
    25,993.59x = 283,505,508.06
  5. Step 5: Solve for x
    x = 283,505,508.06/25,993.59
  6. Step 6: Final answer
    x = 10,906.75

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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.