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Finding the Fourth Proportional to 8,201.20, 12,295.52 and 3,815.46

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Solution

The fourth proportional to 8,201.20, 12,295.52 and 3,815.46 is: 5,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.20 : 12,295.52 = 3,815.46 : x
  2. Step 2: Convert to fraction form
    8,201.20/12,295.52 = 3,815.46/x
  3. Step 3: Cross multiply
    8,201.20x = 12,295.52 × 3,815.46
  4. Step 4: Simplify right side
    8,201.20x = 46,913,064.74
  5. Step 5: Solve for x
    x = 46,913,064.74/8,201.20
  6. Step 6: Final answer
    x = 5,720.27

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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.