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Finding the Fourth Proportional to 8,122.73, 12,182.27 and 3,735.98

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Solution

The fourth proportional to 8,122.73, 12,182.27 and 3,735.98 is: 5,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.73 : 12,182.27 = 3,735.98 : x
  2. Step 2: Convert to fraction form
    8,122.73/12,182.27 = 3,735.98/x
  3. Step 3: Cross multiply
    8,122.73x = 12,182.27 × 3,735.98
  4. Step 4: Simplify right side
    8,122.73x = 45,512,637.48
  5. Step 5: Solve for x
    x = 45,512,637.48/8,122.73
  6. Step 6: Final answer
    x = 5,603.12

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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.