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Finding the Fourth Proportional to 11,694.48, 16,138.43 and 6,389.41

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Solution

The fourth proportional to 11,694.48, 16,138.43 and 6,389.41 is: 8,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.48 : 16,138.43 = 6,389.41 : x
  2. Step 2: Convert to fraction form
    11,694.48/16,138.43 = 6,389.41/x
  3. Step 3: Cross multiply
    11,694.48x = 16,138.43 × 6,389.41
  4. Step 4: Simplify right side
    11,694.48x = 103,114,973.58
  5. Step 5: Solve for x
    x = 103,114,973.58/11,694.48
  6. Step 6: Final answer
    x = 8,817.41

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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.