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Finding the Fourth Proportional to 8,202.06, 12,308.13 and 3,758.94

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Solution

The fourth proportional to 8,202.06, 12,308.13 and 3,758.94 is: 5,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.06 : 12,308.13 = 3,758.94 : x
  2. Step 2: Convert to fraction form
    8,202.06/12,308.13 = 3,758.94/x
  3. Step 3: Cross multiply
    8,202.06x = 12,308.13 × 3,758.94
  4. Step 4: Simplify right side
    8,202.06x = 46,265,522.18
  5. Step 5: Solve for x
    x = 46,265,522.18/8,202.06
  6. Step 6: Final answer
    x = 5,640.72

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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.