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Finding the Fourth Proportional to 8,202.20, 12,297.02 and 3,816.46

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Solution

The fourth proportional to 8,202.20, 12,297.02 and 3,816.46 is: 5,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.20 : 12,297.02 = 3,816.46 : x
  2. Step 2: Convert to fraction form
    8,202.20/12,297.02 = 3,816.46/x
  3. Step 3: Cross multiply
    8,202.20x = 12,297.02 × 3,816.46
  4. Step 4: Simplify right side
    8,202.20x = 46,931,084.95
  5. Step 5: Solve for x
    x = 46,931,084.95/8,202.20
  6. Step 6: Final answer
    x = 5,721.77

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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.