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Finding the Fourth Proportional to 7,750.64, 11,625.24 and 2,204.48

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Solution

The fourth proportional to 7,750.64, 11,625.24 and 2,204.48 is: 3,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.64 : 11,625.24 = 2,204.48 : x
  2. Step 2: Convert to fraction form
    7,750.64/11,625.24 = 2,204.48/x
  3. Step 3: Cross multiply
    7,750.64x = 11,625.24 × 2,204.48
  4. Step 4: Simplify right side
    7,750.64x = 25,627,609.08
  5. Step 5: Solve for x
    x = 25,627,609.08/7,750.64
  6. Step 6: Final answer
    x = 3,306.52

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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.