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Finding the Fourth Proportional to 8,028.23, 12,014.73 and 5,065.29

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Solution

The fourth proportional to 8,028.23, 12,014.73 and 5,065.29 is: 7,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.23 : 12,014.73 = 5,065.29 : x
  2. Step 2: Convert to fraction form
    8,028.23/12,014.73 = 5,065.29/x
  3. Step 3: Cross multiply
    8,028.23x = 12,014.73 × 5,065.29
  4. Step 4: Simplify right side
    8,028.23x = 60,858,091.72
  5. Step 5: Solve for x
    x = 60,858,091.72/8,028.23
  6. Step 6: Final answer
    x = 7,580.52

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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.