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Finding the Fourth Proportional to 10,906.12, 16,356.75 and 5,059.54

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Solution

The fourth proportional to 10,906.12, 16,356.75 and 5,059.54 is: 7,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.12 : 16,356.75 = 5,059.54 : x
  2. Step 2: Convert to fraction form
    10,906.12/16,356.75 = 5,059.54/x
  3. Step 3: Cross multiply
    10,906.12x = 16,356.75 × 5,059.54
  4. Step 4: Simplify right side
    10,906.12x = 82,757,630.90
  5. Step 5: Solve for x
    x = 82,757,630.90/10,906.12
  6. Step 6: Final answer
    x = 7,588.18

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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.