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Finding the Fourth Proportional to 10,785.44, 16,182.06 and 3,766.49

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Solution

The fourth proportional to 10,785.44, 16,182.06 and 3,766.49 is: 5,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.44 : 16,182.06 = 3,766.49 : x
  2. Step 2: Convert to fraction form
    10,785.44/16,182.06 = 3,766.49/x
  3. Step 3: Cross multiply
    10,785.44x = 16,182.06 × 3,766.49
  4. Step 4: Simplify right side
    10,785.44x = 60,949,532.82
  5. Step 5: Solve for x
    x = 60,949,532.82/10,785.44
  6. Step 6: Final answer
    x = 5,651.09

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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.