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Finding the Fourth Proportional to 6,934.60, 10,380.30 and 4,004.20

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Solution

The fourth proportional to 6,934.60, 10,380.30 and 4,004.20 is: 5,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.60 : 10,380.30 = 4,004.20 : x
  2. Step 2: Convert to fraction form
    6,934.60/10,380.30 = 4,004.20/x
  3. Step 3: Cross multiply
    6,934.60x = 10,380.30 × 4,004.20
  4. Step 4: Simplify right side
    6,934.60x = 41,564,797.26
  5. Step 5: Solve for x
    x = 41,564,797.26/6,934.60
  6. Step 6: Final answer
    x = 5,993.83

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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.