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Finding the Fourth Proportional to 8,270.78, 12,403.49 and 2,722.82

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Solution

The fourth proportional to 8,270.78, 12,403.49 and 2,722.82 is: 4,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.78 : 12,403.49 = 2,722.82 : x
  2. Step 2: Convert to fraction form
    8,270.78/12,403.49 = 2,722.82/x
  3. Step 3: Cross multiply
    8,270.78x = 12,403.49 × 2,722.82
  4. Step 4: Simplify right side
    8,270.78x = 33,772,395.01
  5. Step 5: Solve for x
    x = 33,772,395.01/8,270.78
  6. Step 6: Final answer
    x = 4,083.34

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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.