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Finding the Fourth Proportional to 7,193.38, 10,771.68 and 5,734.66

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Solution

The fourth proportional to 7,193.38, 10,771.68 and 5,734.66 is: 8,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.38 : 10,771.68 = 5,734.66 : x
  2. Step 2: Convert to fraction form
    7,193.38/10,771.68 = 5,734.66/x
  3. Step 3: Cross multiply
    7,193.38x = 10,771.68 × 5,734.66
  4. Step 4: Simplify right side
    7,193.38x = 61,771,922.43
  5. Step 5: Solve for x
    x = 61,771,922.43/7,193.38
  6. Step 6: Final answer
    x = 8,587.33

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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.