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Finding the Fourth Proportional to 6,782.82, 10,170.99 and 4,151.94

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Solution

The fourth proportional to 6,782.82, 10,170.99 and 4,151.94 is: 6,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.82 : 10,170.99 = 4,151.94 : x
  2. Step 2: Convert to fraction form
    6,782.82/10,170.99 = 4,151.94/x
  3. Step 3: Cross multiply
    6,782.82x = 10,170.99 × 4,151.94
  4. Step 4: Simplify right side
    6,782.82x = 42,229,340.22
  5. Step 5: Solve for x
    x = 42,229,340.22/6,782.82
  6. Step 6: Final answer
    x = 6,225.93

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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.