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Finding the Fourth Proportional to 8,188.36, 12,284.46 and 2,344.82

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Solution

The fourth proportional to 8,188.36, 12,284.46 and 2,344.82 is: 3,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.36 : 12,284.46 = 2,344.82 : x
  2. Step 2: Convert to fraction form
    8,188.36/12,284.46 = 2,344.82/x
  3. Step 3: Cross multiply
    8,188.36x = 12,284.46 × 2,344.82
  4. Step 4: Simplify right side
    8,188.36x = 28,804,786.07
  5. Step 5: Solve for x
    x = 28,804,786.07/8,188.36
  6. Step 6: Final answer
    x = 3,517.77

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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.