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Finding the Fourth Proportional to 10,819.36, 16,231.84 and 3,028.24

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Solution

The fourth proportional to 10,819.36, 16,231.84 and 3,028.24 is: 4,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.36 : 16,231.84 = 3,028.24 : x
  2. Step 2: Convert to fraction form
    10,819.36/16,231.84 = 3,028.24/x
  3. Step 3: Cross multiply
    10,819.36x = 16,231.84 × 3,028.24
  4. Step 4: Simplify right side
    10,819.36x = 49,153,907.16
  5. Step 5: Solve for x
    x = 49,153,907.16/10,819.36
  6. Step 6: Final answer
    x = 4,543.14

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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.