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Finding the Fourth Proportional to 8,201.16, 12,295.36 and 3,818.04

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Solution

The fourth proportional to 8,201.16, 12,295.36 and 3,818.04 is: 5,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.16 : 12,295.36 = 3,818.04 : x
  2. Step 2: Convert to fraction form
    8,201.16/12,295.36 = 3,818.04/x
  3. Step 3: Cross multiply
    8,201.16x = 12,295.36 × 3,818.04
  4. Step 4: Simplify right side
    8,201.16x = 46,944,176.29
  5. Step 5: Solve for x
    x = 46,944,176.29/8,201.16
  6. Step 6: Final answer
    x = 5,724.09

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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.