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Finding the Fourth Proportional to 7,181.87, 9,907.72 and 5,189.27

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Solution

The fourth proportional to 7,181.87, 9,907.72 and 5,189.27 is: 7,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.87 : 9,907.72 = 5,189.27 : x
  2. Step 2: Convert to fraction form
    7,181.87/9,907.72 = 5,189.27/x
  3. Step 3: Cross multiply
    7,181.87x = 9,907.72 × 5,189.27
  4. Step 4: Simplify right side
    7,181.87x = 51,413,771.65
  5. Step 5: Solve for x
    x = 51,413,771.65/7,181.87
  6. Step 6: Final answer
    x = 7,158.83

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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.