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Finding the Fourth Proportional to 8,185.87, 11,308.85 and 6,611.23

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Solution

The fourth proportional to 8,185.87, 11,308.85 and 6,611.23 is: 9,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.87 : 11,308.85 = 6,611.23 : x
  2. Step 2: Convert to fraction form
    8,185.87/11,308.85 = 6,611.23/x
  3. Step 3: Cross multiply
    8,185.87x = 11,308.85 × 6,611.23
  4. Step 4: Simplify right side
    8,185.87x = 74,765,408.39
  5. Step 5: Solve for x
    x = 74,765,408.39/8,185.87
  6. Step 6: Final answer
    x = 9,133.47

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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.