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Finding the Fourth Proportional to 8,188.70, 12,284.66 and 2,643.44

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Solution

The fourth proportional to 8,188.70, 12,284.66 and 2,643.44 is: 3,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.70 : 12,284.66 = 2,643.44 : x
  2. Step 2: Convert to fraction form
    8,188.70/12,284.66 = 2,643.44/x
  3. Step 3: Cross multiply
    8,188.70x = 12,284.66 × 2,643.44
  4. Step 4: Simplify right side
    8,188.70x = 32,473,706.82
  5. Step 5: Solve for x
    x = 32,473,706.82/8,188.70
  6. Step 6: Final answer
    x = 3,965.68

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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.