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Finding the Fourth Proportional to 6,794.88, 10,182.72 and 4,022.16

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Solution

The fourth proportional to 6,794.88, 10,182.72 and 4,022.16 is: 6,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.88 : 10,182.72 = 4,022.16 : x
  2. Step 2: Convert to fraction form
    6,794.88/10,182.72 = 4,022.16/x
  3. Step 3: Cross multiply
    6,794.88x = 10,182.72 × 4,022.16
  4. Step 4: Simplify right side
    6,794.88x = 40,956,529.08
  5. Step 5: Solve for x
    x = 40,956,529.08/6,794.88
  6. Step 6: Final answer
    x = 6,027.56

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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.