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Finding the Fourth Proportional to 5,513.96, 8,274 and 5,096

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Solution

The fourth proportional to 5,513.96, 8,274 and 5,096 is: 7,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.96 : 8,274 = 5,096 : x
  2. Step 2: Convert to fraction form
    5,513.96/8,274 = 5,096/x
  3. Step 3: Cross multiply
    5,513.96x = 8,274 × 5,096
  4. Step 4: Simplify right side
    5,513.96x = 42,164,304
  5. Step 5: Solve for x
    x = 42,164,304/5,513.96
  6. Step 6: Final answer
    x = 7,646.83

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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.