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Finding the Fourth Proportional to 28,825.57, 43,234.78 and 7,767.26

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Solution

The fourth proportional to 28,825.57, 43,234.78 and 7,767.26 is: 11,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,825.57 : 43,234.78 = 7,767.26 : x
  2. Step 2: Convert to fraction form
    28,825.57/43,234.78 = 7,767.26/x
  3. Step 3: Cross multiply
    28,825.57x = 43,234.78 × 7,767.26
  4. Step 4: Simplify right side
    28,825.57x = 335,815,777.30
  5. Step 5: Solve for x
    x = 335,815,777.30/28,825.57
  6. Step 6: Final answer
    x = 11,649.93

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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.