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Finding the Fourth Proportional to 6,935.67, 10,404.24 and 2,255.49

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Solution

The fourth proportional to 6,935.67, 10,404.24 and 2,255.49 is: 3,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.67 : 10,404.24 = 2,255.49 : x
  2. Step 2: Convert to fraction form
    6,935.67/10,404.24 = 2,255.49/x
  3. Step 3: Cross multiply
    6,935.67x = 10,404.24 × 2,255.49
  4. Step 4: Simplify right side
    6,935.67x = 23,466,659.28
  5. Step 5: Solve for x
    x = 23,466,659.28/6,935.67
  6. Step 6: Final answer
    x = 3,383.47

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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.