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Finding the Fourth Proportional to 8,182.80, 12,275.34 and 4,022.96

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Solution

The fourth proportional to 8,182.80, 12,275.34 and 4,022.96 is: 6,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.80 : 12,275.34 = 4,022.96 : x
  2. Step 2: Convert to fraction form
    8,182.80/12,275.34 = 4,022.96/x
  3. Step 3: Cross multiply
    8,182.80x = 12,275.34 × 4,022.96
  4. Step 4: Simplify right side
    8,182.80x = 49,383,201.81
  5. Step 5: Solve for x
    x = 49,383,201.81/8,182.80
  6. Step 6: Final answer
    x = 6,035.00

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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.