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Finding the Fourth Proportional to 8,252.94, 12,379.26 and 2,013

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Solution

The fourth proportional to 8,252.94, 12,379.26 and 2,013 is: 3,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.94 : 12,379.26 = 2,013 : x
  2. Step 2: Convert to fraction form
    8,252.94/12,379.26 = 2,013/x
  3. Step 3: Cross multiply
    8,252.94x = 12,379.26 × 2,013
  4. Step 4: Simplify right side
    8,252.94x = 24,919,450.38
  5. Step 5: Solve for x
    x = 24,919,450.38/8,252.94
  6. Step 6: Final answer
    x = 3,019.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.