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Finding the Fourth Proportional to 8,261.12, 11,416.73 and 6,766.67

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Solution

The fourth proportional to 8,261.12, 11,416.73 and 6,766.67 is: 9,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.12 : 11,416.73 = 6,766.67 : x
  2. Step 2: Convert to fraction form
    8,261.12/11,416.73 = 6,766.67/x
  3. Step 3: Cross multiply
    8,261.12x = 11,416.73 × 6,766.67
  4. Step 4: Simplify right side
    8,261.12x = 77,253,153.47
  5. Step 5: Solve for x
    x = 77,253,153.47/8,261.12
  6. Step 6: Final answer
    x = 9,351.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.