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Finding the Fourth Proportional to 8,183.81, 12,275.72 and 3,798.88

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Solution

The fourth proportional to 8,183.81, 12,275.72 and 3,798.88 is: 5,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.81 : 12,275.72 = 3,798.88 : x
  2. Step 2: Convert to fraction form
    8,183.81/12,275.72 = 3,798.88/x
  3. Step 3: Cross multiply
    8,183.81x = 12,275.72 × 3,798.88
  4. Step 4: Simplify right side
    8,183.81x = 46,633,987.19
  5. Step 5: Solve for x
    x = 46,633,987.19/8,183.81
  6. Step 6: Final answer
    x = 5,698.32

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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.