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Finding the Fourth Proportional to 8,102.25, 12,153.38 and 2,630.25

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Solution

The fourth proportional to 8,102.25, 12,153.38 and 2,630.25 is: 3,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.25 : 12,153.38 = 2,630.25 : x
  2. Step 2: Convert to fraction form
    8,102.25/12,153.38 = 2,630.25/x
  3. Step 3: Cross multiply
    8,102.25x = 12,153.38 × 2,630.25
  4. Step 4: Simplify right side
    8,102.25x = 31,966,414.59
  5. Step 5: Solve for x
    x = 31,966,414.59/8,102.25
  6. Step 6: Final answer
    x = 3,945.38

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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.