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Finding the Fourth Proportional to 12,103.78, 18,162.71 and 5,083.26

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Solution

The fourth proportional to 12,103.78, 18,162.71 and 5,083.26 is: 7,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.78 : 18,162.71 = 5,083.26 : x
  2. Step 2: Convert to fraction form
    12,103.78/18,162.71 = 5,083.26/x
  3. Step 3: Cross multiply
    12,103.78x = 18,162.71 × 5,083.26
  4. Step 4: Simplify right side
    12,103.78x = 92,325,688.47
  5. Step 5: Solve for x
    x = 92,325,688.47/12,103.78
  6. Step 6: Final answer
    x = 7,627.84

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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.