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Finding the Fourth Proportional to 6,785.57, 10,178.96 and 1,855.23

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Solution

The fourth proportional to 6,785.57, 10,178.96 and 1,855.23 is: 2,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.57 : 10,178.96 = 1,855.23 : x
  2. Step 2: Convert to fraction form
    6,785.57/10,178.96 = 1,855.23/x
  3. Step 3: Cross multiply
    6,785.57x = 10,178.96 × 1,855.23
  4. Step 4: Simplify right side
    6,785.57x = 18,884,302.68
  5. Step 5: Solve for x
    x = 18,884,302.68/6,785.57
  6. Step 6: Final answer
    x = 2,783.01

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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.