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Finding the Fourth Proportional to 8,378.64, 12,556.62 and 3,181.68

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Solution

The fourth proportional to 8,378.64, 12,556.62 and 3,181.68 is: 4,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.64 : 12,556.62 = 3,181.68 : x
  2. Step 2: Convert to fraction form
    8,378.64/12,556.62 = 3,181.68/x
  3. Step 3: Cross multiply
    8,378.64x = 12,556.62 × 3,181.68
  4. Step 4: Simplify right side
    8,378.64x = 39,951,146.72
  5. Step 5: Solve for x
    x = 39,951,146.72/8,378.64
  6. Step 6: Final answer
    x = 4,768.21

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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.