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Finding the Fourth Proportional to 7,186.57, 10,782.48 and 3,027.62

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Solution

The fourth proportional to 7,186.57, 10,782.48 and 3,027.62 is: 4,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.57 : 10,782.48 = 3,027.62 : x
  2. Step 2: Convert to fraction form
    7,186.57/10,782.48 = 3,027.62/x
  3. Step 3: Cross multiply
    7,186.57x = 10,782.48 × 3,027.62
  4. Step 4: Simplify right side
    7,186.57x = 32,645,252.10
  5. Step 5: Solve for x
    x = 32,645,252.10/7,186.57
  6. Step 6: Final answer
    x = 4,542.54

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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.