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Finding the Fourth Proportional to 11,843.21, 16,349.52 and 7,368.41

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Solution

The fourth proportional to 11,843.21, 16,349.52 and 7,368.41 is: 10,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.21 : 16,349.52 = 7,368.41 : x
  2. Step 2: Convert to fraction form
    11,843.21/16,349.52 = 7,368.41/x
  3. Step 3: Cross multiply
    11,843.21x = 16,349.52 × 7,368.41
  4. Step 4: Simplify right side
    11,843.21x = 120,469,966.66
  5. Step 5: Solve for x
    x = 120,469,966.66/11,843.21
  6. Step 6: Final answer
    x = 10,172.07

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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.