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Finding the Fourth Proportional to 25,796.56, 38,694.03 and 7,328.56

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Solution

The fourth proportional to 25,796.56, 38,694.03 and 7,328.56 is: 10,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,796.56 : 38,694.03 = 7,328.56 : x
  2. Step 2: Convert to fraction form
    25,796.56/38,694.03 = 7,328.56/x
  3. Step 3: Cross multiply
    25,796.56x = 38,694.03 × 7,328.56
  4. Step 4: Simplify right side
    25,796.56x = 283,571,520.50
  5. Step 5: Solve for x
    x = 283,571,520.50/25,796.56
  6. Step 6: Final answer
    x = 10,992.61

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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.