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Finding the Fourth Proportional to 6,785.54, 10,178.31 and 1,855.22

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Solution

The fourth proportional to 6,785.54, 10,178.31 and 1,855.22 is: 2,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.54 : 10,178.31 = 1,855.22 : x
  2. Step 2: Convert to fraction form
    6,785.54/10,178.31 = 1,855.22/x
  3. Step 3: Cross multiply
    6,785.54x = 10,178.31 × 1,855.22
  4. Step 4: Simplify right side
    6,785.54x = 18,882,983.47
  5. Step 5: Solve for x
    x = 18,882,983.47/6,785.54
  6. Step 6: Final answer
    x = 2,782.83

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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.