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Finding the Fourth Proportional to 8,396.48, 12,594.72 and 3,462.68

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Solution

The fourth proportional to 8,396.48, 12,594.72 and 3,462.68 is: 5,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.48 : 12,594.72 = 3,462.68 : x
  2. Step 2: Convert to fraction form
    8,396.48/12,594.72 = 3,462.68/x
  3. Step 3: Cross multiply
    8,396.48x = 12,594.72 × 3,462.68
  4. Step 4: Simplify right side
    8,396.48x = 43,611,485.05
  5. Step 5: Solve for x
    x = 43,611,485.05/8,396.48
  6. Step 6: Final answer
    x = 5,194.02

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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.