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Finding the Fourth Proportional to 11,843.41, 16,343.93 and 6,538.23

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Solution

The fourth proportional to 11,843.41, 16,343.93 and 6,538.23 is: 9,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.41 : 16,343.93 = 6,538.23 : x
  2. Step 2: Convert to fraction form
    11,843.41/16,343.93 = 6,538.23/x
  3. Step 3: Cross multiply
    11,843.41x = 16,343.93 × 6,538.23
  4. Step 4: Simplify right side
    11,843.41x = 106,860,373.44
  5. Step 5: Solve for x
    x = 106,860,373.44/11,843.41
  6. Step 6: Final answer
    x = 9,022.77

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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.