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Finding the Fourth Proportional to 6,782.62, 10,179.14 and 3,035.56

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Solution

The fourth proportional to 6,782.62, 10,179.14 and 3,035.56 is: 4,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.62 : 10,179.14 = 3,035.56 : x
  2. Step 2: Convert to fraction form
    6,782.62/10,179.14 = 3,035.56/x
  3. Step 3: Cross multiply
    6,782.62x = 10,179.14 × 3,035.56
  4. Step 4: Simplify right side
    6,782.62x = 30,899,390.22
  5. Step 5: Solve for x
    x = 30,899,390.22/6,782.62
  6. Step 6: Final answer
    x = 4,555.67

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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.