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Finding the Fourth Proportional to 10,893.44, 16,342.90 and 3,102.26

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Solution

The fourth proportional to 10,893.44, 16,342.90 and 3,102.26 is: 4,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.44 : 16,342.90 = 3,102.26 : x
  2. Step 2: Convert to fraction form
    10,893.44/16,342.90 = 3,102.26/x
  3. Step 3: Cross multiply
    10,893.44x = 16,342.90 × 3,102.26
  4. Step 4: Simplify right side
    10,893.44x = 50,699,924.95
  5. Step 5: Solve for x
    x = 50,699,924.95/10,893.44
  6. Step 6: Final answer
    x = 4,654.17

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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.