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Finding the Fourth Proportional to 8,161.74, 12,243.38 and 2,896.25

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Solution

The fourth proportional to 8,161.74, 12,243.38 and 2,896.25 is: 4,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.74 : 12,243.38 = 2,896.25 : x
  2. Step 2: Convert to fraction form
    8,161.74/12,243.38 = 2,896.25/x
  3. Step 3: Cross multiply
    8,161.74x = 12,243.38 × 2,896.25
  4. Step 4: Simplify right side
    8,161.74x = 35,459,813.63
  5. Step 5: Solve for x
    x = 35,459,813.63/8,161.74
  6. Step 6: Final answer
    x = 4,344.64

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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.