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Finding the Fourth Proportional to 12,238.28, 16,894 and 8,264.78

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Solution

The fourth proportional to 12,238.28, 16,894 and 8,264.78 is: 11,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.28 : 16,894 = 8,264.78 : x
  2. Step 2: Convert to fraction form
    12,238.28/16,894 = 8,264.78/x
  3. Step 3: Cross multiply
    12,238.28x = 16,894 × 8,264.78
  4. Step 4: Simplify right side
    12,238.28x = 139,625,193.32
  5. Step 5: Solve for x
    x = 139,625,193.32/12,238.28
  6. Step 6: Final answer
    x = 11,408.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.