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Finding the Fourth Proportional to 6,782.43, 10,175.70 and 3,083.67

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Solution

The fourth proportional to 6,782.43, 10,175.70 and 3,083.67 is: 4,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.43 : 10,175.70 = 3,083.67 : x
  2. Step 2: Convert to fraction form
    6,782.43/10,175.70 = 3,083.67/x
  3. Step 3: Cross multiply
    6,782.43x = 10,175.70 × 3,083.67
  4. Step 4: Simplify right side
    6,782.43x = 31,378,503.71
  5. Step 5: Solve for x
    x = 31,378,503.71/6,782.43
  6. Step 6: Final answer
    x = 4,626.44

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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.