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Finding the Fourth Proportional to 6,785.72, 10,178.78 and 2,406.20

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Solution

The fourth proportional to 6,785.72, 10,178.78 and 2,406.20 is: 3,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.72 : 10,178.78 = 2,406.20 : x
  2. Step 2: Convert to fraction form
    6,785.72/10,178.78 = 2,406.20/x
  3. Step 3: Cross multiply
    6,785.72x = 10,178.78 × 2,406.20
  4. Step 4: Simplify right side
    6,785.72x = 24,492,180.44
  5. Step 5: Solve for x
    x = 24,492,180.44/6,785.72
  6. Step 6: Final answer
    x = 3,609.37

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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.