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Finding the Fourth Proportional to 8,166.56, 12,245.36 and 3,781.60

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Solution

The fourth proportional to 8,166.56, 12,245.36 and 3,781.60 is: 5,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.56 : 12,245.36 = 3,781.60 : x
  2. Step 2: Convert to fraction form
    8,166.56/12,245.36 = 3,781.60/x
  3. Step 3: Cross multiply
    8,166.56x = 12,245.36 × 3,781.60
  4. Step 4: Simplify right side
    8,166.56x = 46,307,053.38
  5. Step 5: Solve for x
    x = 46,307,053.38/8,166.56
  6. Step 6: Final answer
    x = 5,670.33

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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.