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Finding the Fourth Proportional to 7,552.82, 10,423.50 and 4,196.78

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Solution

The fourth proportional to 7,552.82, 10,423.50 and 4,196.78 is: 5,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.82 : 10,423.50 = 4,196.78 : x
  2. Step 2: Convert to fraction form
    7,552.82/10,423.50 = 4,196.78/x
  3. Step 3: Cross multiply
    7,552.82x = 10,423.50 × 4,196.78
  4. Step 4: Simplify right side
    7,552.82x = 43,745,136.33
  5. Step 5: Solve for x
    x = 43,745,136.33/7,552.82
  6. Step 6: Final answer
    x = 5,791.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.