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Finding the Fourth Proportional to 7,682.34, 11,512.43 and 4,396.38

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Solution

The fourth proportional to 7,682.34, 11,512.43 and 4,396.38 is: 6,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.34 : 11,512.43 = 4,396.38 : x
  2. Step 2: Convert to fraction form
    7,682.34/11,512.43 = 4,396.38/x
  3. Step 3: Cross multiply
    7,682.34x = 11,512.43 × 4,396.38
  4. Step 4: Simplify right side
    7,682.34x = 50,612,968.34
  5. Step 5: Solve for x
    x = 50,612,968.34/7,682.34
  6. Step 6: Final answer
    x = 6,588.22

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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.