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Finding the Fourth Proportional to 10,906.20, 16,356.06 and 5,709.24

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Solution

The fourth proportional to 10,906.20, 16,356.06 and 5,709.24 is: 8,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.20 : 16,356.06 = 5,709.24 : x
  2. Step 2: Convert to fraction form
    10,906.20/16,356.06 = 5,709.24/x
  3. Step 3: Cross multiply
    10,906.20x = 16,356.06 × 5,709.24
  4. Step 4: Simplify right side
    10,906.20x = 93,380,671.99
  5. Step 5: Solve for x
    x = 93,380,671.99/10,906.20
  6. Step 6: Final answer
    x = 8,562.16

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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.