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Finding the Fourth Proportional to 8,244.84, 12,401.82 and 6,862.44

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Solution

The fourth proportional to 8,244.84, 12,401.82 and 6,862.44 is: 10,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.84 : 12,401.82 = 6,862.44 : x
  2. Step 2: Convert to fraction form
    8,244.84/12,401.82 = 6,862.44/x
  3. Step 3: Cross multiply
    8,244.84x = 12,401.82 × 6,862.44
  4. Step 4: Simplify right side
    8,244.84x = 85,106,745.64
  5. Step 5: Solve for x
    x = 85,106,745.64/8,244.84
  6. Step 6: Final answer
    x = 10,322.43

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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.