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Finding the Fourth Proportional to 7,634.30, 11,452.59 and 3,474.22

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Solution

The fourth proportional to 7,634.30, 11,452.59 and 3,474.22 is: 5,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.30 : 11,452.59 = 3,474.22 : x
  2. Step 2: Convert to fraction form
    7,634.30/11,452.59 = 3,474.22/x
  3. Step 3: Cross multiply
    7,634.30x = 11,452.59 × 3,474.22
  4. Step 4: Simplify right side
    7,634.30x = 39,788,777.86
  5. Step 5: Solve for x
    x = 39,788,777.86/7,634.30
  6. Step 6: Final answer
    x = 5,211.84

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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.