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Finding the Fourth Proportional to 8,087.36, 12,114.84 and 3,698.80

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Solution

The fourth proportional to 8,087.36, 12,114.84 and 3,698.80 is: 5,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.36 : 12,114.84 = 3,698.80 : x
  2. Step 2: Convert to fraction form
    8,087.36/12,114.84 = 3,698.80/x
  3. Step 3: Cross multiply
    8,087.36x = 12,114.84 × 3,698.80
  4. Step 4: Simplify right side
    8,087.36x = 44,810,370.19
  5. Step 5: Solve for x
    x = 44,810,370.19/8,087.36
  6. Step 6: Final answer
    x = 5,540.79

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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.