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Finding the Fourth Proportional to 6,782.94, 10,172.78 and 1,852.61

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Solution

The fourth proportional to 6,782.94, 10,172.78 and 1,852.61 is: 2,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.94 : 10,172.78 = 1,852.61 : x
  2. Step 2: Convert to fraction form
    6,782.94/10,172.78 = 1,852.61/x
  3. Step 3: Cross multiply
    6,782.94x = 10,172.78 × 1,852.61
  4. Step 4: Simplify right side
    6,782.94x = 18,846,178.92
  5. Step 5: Solve for x
    x = 18,846,178.92/6,782.94
  6. Step 6: Final answer
    x = 2,778.47

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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.