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Finding the Fourth Proportional to 8,147.26, 12,223.05 and 2,953.90

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Solution

The fourth proportional to 8,147.26, 12,223.05 and 2,953.90 is: 4,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.26 : 12,223.05 = 2,953.90 : x
  2. Step 2: Convert to fraction form
    8,147.26/12,223.05 = 2,953.90/x
  3. Step 3: Cross multiply
    8,147.26x = 12,223.05 × 2,953.90
  4. Step 4: Simplify right side
    8,147.26x = 36,105,667.40
  5. Step 5: Solve for x
    x = 36,105,667.40/8,147.26
  6. Step 6: Final answer
    x = 4,431.63

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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.