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Finding the Fourth Proportional to 8,029.78, 12,015.11 and 4,855.90

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Solution

The fourth proportional to 8,029.78, 12,015.11 and 4,855.90 is: 7,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.78 : 12,015.11 = 4,855.90 : x
  2. Step 2: Convert to fraction form
    8,029.78/12,015.11 = 4,855.90/x
  3. Step 3: Cross multiply
    8,029.78x = 12,015.11 × 4,855.90
  4. Step 4: Simplify right side
    8,029.78x = 58,344,148.37
  5. Step 5: Solve for x
    x = 58,344,148.37/8,029.78
  6. Step 6: Final answer
    x = 7,265.97

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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.