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Finding the Fourth Proportional to 8,231.60, 12,345.62 and 2,609.72

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Solution

The fourth proportional to 8,231.60, 12,345.62 and 2,609.72 is: 3,914.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.60 : 12,345.62 = 2,609.72 : x
  2. Step 2: Convert to fraction form
    8,231.60/12,345.62 = 2,609.72/x
  3. Step 3: Cross multiply
    8,231.60x = 12,345.62 × 2,609.72
  4. Step 4: Simplify right side
    8,231.60x = 32,218,611.43
  5. Step 5: Solve for x
    x = 32,218,611.43/8,231.60
  6. Step 6: Final answer
    x = 3,914.02

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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.