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Finding the Fourth Proportional to 7,755.57, 11,633.42 and 2,825.24

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Solution

The fourth proportional to 7,755.57, 11,633.42 and 2,825.24 is: 4,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.57 : 11,633.42 = 2,825.24 : x
  2. Step 2: Convert to fraction form
    7,755.57/11,633.42 = 2,825.24/x
  3. Step 3: Cross multiply
    7,755.57x = 11,633.42 × 2,825.24
  4. Step 4: Simplify right side
    7,755.57x = 32,867,152.42
  5. Step 5: Solve for x
    x = 32,867,152.42/7,755.57
  6. Step 6: Final answer
    x = 4,237.88

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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.