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Finding the Fourth Proportional to 8,130.73, 12,196.07 and 1,974.73

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Solution

The fourth proportional to 8,130.73, 12,196.07 and 1,974.73 is: 2,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.73 : 12,196.07 = 1,974.73 : x
  2. Step 2: Convert to fraction form
    8,130.73/12,196.07 = 1,974.73/x
  3. Step 3: Cross multiply
    8,130.73x = 12,196.07 × 1,974.73
  4. Step 4: Simplify right side
    8,130.73x = 24,083,945.31
  5. Step 5: Solve for x
    x = 24,083,945.31/8,130.73
  6. Step 6: Final answer
    x = 2,962.09

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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.