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Finding the Fourth Proportional to 8,223.78, 12,336.48 and 2,380.26

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Solution

The fourth proportional to 8,223.78, 12,336.48 and 2,380.26 is: 3,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.78 : 12,336.48 = 2,380.26 : x
  2. Step 2: Convert to fraction form
    8,223.78/12,336.48 = 2,380.26/x
  3. Step 3: Cross multiply
    8,223.78x = 12,336.48 × 2,380.26
  4. Step 4: Simplify right side
    8,223.78x = 29,364,029.88
  5. Step 5: Solve for x
    x = 29,364,029.88/8,223.78
  6. Step 6: Final answer
    x = 3,570.62

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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.