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Finding the Fourth Proportional to 8,284.94, 12,427.41 and 5,679.98

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Solution

The fourth proportional to 8,284.94, 12,427.41 and 5,679.98 is: 8,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.94 : 12,427.41 = 5,679.98 : x
  2. Step 2: Convert to fraction form
    8,284.94/12,427.41 = 5,679.98/x
  3. Step 3: Cross multiply
    8,284.94x = 12,427.41 × 5,679.98
  4. Step 4: Simplify right side
    8,284.94x = 70,587,440.25
  5. Step 5: Solve for x
    x = 70,587,440.25/8,284.94
  6. Step 6: Final answer
    x = 8,519.97

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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.