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Finding the Fourth Proportional to 8,162.14, 12,245.02 and 2,615.80

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Solution

The fourth proportional to 8,162.14, 12,245.02 and 2,615.80 is: 3,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.14 : 12,245.02 = 2,615.80 : x
  2. Step 2: Convert to fraction form
    8,162.14/12,245.02 = 2,615.80/x
  3. Step 3: Cross multiply
    8,162.14x = 12,245.02 × 2,615.80
  4. Step 4: Simplify right side
    8,162.14x = 32,030,523.32
  5. Step 5: Solve for x
    x = 32,030,523.32/8,162.14
  6. Step 6: Final answer
    x = 3,924.28

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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.