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Finding the Fourth Proportional to 8,200.25, 12,297.33 and 2,652.15

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Solution

The fourth proportional to 8,200.25, 12,297.33 and 2,652.15 is: 3,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.25 : 12,297.33 = 2,652.15 : x
  2. Step 2: Convert to fraction form
    8,200.25/12,297.33 = 2,652.15/x
  3. Step 3: Cross multiply
    8,200.25x = 12,297.33 × 2,652.15
  4. Step 4: Simplify right side
    8,200.25x = 32,614,363.76
  5. Step 5: Solve for x
    x = 32,614,363.76/8,200.25
  6. Step 6: Final answer
    x = 3,977.24

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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.