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Finding the Fourth Proportional to 10,872.88, 16,309.47 and 3,081.69

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Solution

The fourth proportional to 10,872.88, 16,309.47 and 3,081.69 is: 4,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.88 : 16,309.47 = 3,081.69 : x
  2. Step 2: Convert to fraction form
    10,872.88/16,309.47 = 3,081.69/x
  3. Step 3: Cross multiply
    10,872.88x = 16,309.47 × 3,081.69
  4. Step 4: Simplify right side
    10,872.88x = 50,260,730.60
  5. Step 5: Solve for x
    x = 50,260,730.60/10,872.88
  6. Step 6: Final answer
    x = 4,622.58

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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.