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Finding the Fourth Proportional to 8,231.51, 12,348.22 and 2,893.05

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Solution

The fourth proportional to 8,231.51, 12,348.22 and 2,893.05 is: 4,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.51 : 12,348.22 = 2,893.05 : x
  2. Step 2: Convert to fraction form
    8,231.51/12,348.22 = 2,893.05/x
  3. Step 3: Cross multiply
    8,231.51x = 12,348.22 × 2,893.05
  4. Step 4: Simplify right side
    8,231.51x = 35,724,017.87
  5. Step 5: Solve for x
    x = 35,724,017.87/8,231.51
  6. Step 6: Final answer
    x = 4,339.91

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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.