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Finding the Fourth Proportional to 8,193.36, 12,283.26 and 3,193.26

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Solution

The fourth proportional to 8,193.36, 12,283.26 and 3,193.26 is: 4,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.36 : 12,283.26 = 3,193.26 : x
  2. Step 2: Convert to fraction form
    8,193.36/12,283.26 = 3,193.26/x
  3. Step 3: Cross multiply
    8,193.36x = 12,283.26 × 3,193.26
  4. Step 4: Simplify right side
    8,193.36x = 39,223,642.83
  5. Step 5: Solve for x
    x = 39,223,642.83/8,193.36
  6. Step 6: Final answer
    x = 4,787.25

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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.