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Finding the Fourth Proportional to 8,211.97, 12,307.24 and 3,768.03

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Solution

The fourth proportional to 8,211.97, 12,307.24 and 3,768.03 is: 5,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.97 : 12,307.24 = 3,768.03 : x
  2. Step 2: Convert to fraction form
    8,211.97/12,307.24 = 3,768.03/x
  3. Step 3: Cross multiply
    8,211.97x = 12,307.24 × 3,768.03
  4. Step 4: Simplify right side
    8,211.97x = 46,374,009.35
  5. Step 5: Solve for x
    x = 46,374,009.35/8,211.97
  6. Step 6: Final answer
    x = 5,647.13

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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.