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Finding the Fourth Proportional to 10,893.84, 16,324.40 and 8,107.44

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Solution

The fourth proportional to 10,893.84, 16,324.40 and 8,107.44 is: 12,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.84 : 16,324.40 = 8,107.44 : x
  2. Step 2: Convert to fraction form
    10,893.84/16,324.40 = 8,107.44/x
  3. Step 3: Cross multiply
    10,893.84x = 16,324.40 × 8,107.44
  4. Step 4: Simplify right side
    10,893.84x = 132,349,093.54
  5. Step 5: Solve for x
    x = 132,349,093.54/10,893.84
  6. Step 6: Final answer
    x = 12,148.98

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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.