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Finding the Fourth Proportional to 10,676.54, 15,993.33 and 5,323.56

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Solution

The fourth proportional to 10,676.54, 15,993.33 and 5,323.56 is: 7,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.54 : 15,993.33 = 5,323.56 : x
  2. Step 2: Convert to fraction form
    10,676.54/15,993.33 = 5,323.56/x
  3. Step 3: Cross multiply
    10,676.54x = 15,993.33 × 5,323.56
  4. Step 4: Simplify right side
    10,676.54x = 85,141,451.85
  5. Step 5: Solve for x
    x = 85,141,451.85/10,676.54
  6. Step 6: Final answer
    x = 7,974.63

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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.