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Finding the Fourth Proportional to 10,816.65, 16,224.91 and 5,821.37

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Solution

The fourth proportional to 10,816.65, 16,224.91 and 5,821.37 is: 8,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.65 : 16,224.91 = 5,821.37 : x
  2. Step 2: Convert to fraction form
    10,816.65/16,224.91 = 5,821.37/x
  3. Step 3: Cross multiply
    10,816.65x = 16,224.91 × 5,821.37
  4. Step 4: Simplify right side
    10,816.65x = 94,451,230.34
  5. Step 5: Solve for x
    x = 94,451,230.34/10,816.65
  6. Step 6: Final answer
    x = 8,732.02

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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.