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Finding the Fourth Proportional to 7,175.27, 10,770.20 and 5,097.62

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Solution

The fourth proportional to 7,175.27, 10,770.20 and 5,097.62 is: 7,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.27 : 10,770.20 = 5,097.62 : x
  2. Step 2: Convert to fraction form
    7,175.27/10,770.20 = 5,097.62/x
  3. Step 3: Cross multiply
    7,175.27x = 10,770.20 × 5,097.62
  4. Step 4: Simplify right side
    7,175.27x = 54,902,307.58
  5. Step 5: Solve for x
    x = 54,902,307.58/7,175.27
  6. Step 6: Final answer
    x = 7,651.61

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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.