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Finding the Fourth Proportional to 10,825.77, 16,232.09 and 4,244.07

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Solution

The fourth proportional to 10,825.77, 16,232.09 and 4,244.07 is: 6,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.77 : 16,232.09 = 4,244.07 : x
  2. Step 2: Convert to fraction form
    10,825.77/16,232.09 = 4,244.07/x
  3. Step 3: Cross multiply
    10,825.77x = 16,232.09 × 4,244.07
  4. Step 4: Simplify right side
    10,825.77x = 68,890,104.99
  5. Step 5: Solve for x
    x = 68,890,104.99/10,825.77
  6. Step 6: Final answer
    x = 6,363.53

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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.