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Finding the Fourth Proportional to 8,193.83, 12,290.72 and 3,810.69

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Solution

The fourth proportional to 8,193.83, 12,290.72 and 3,810.69 is: 5,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.83 : 12,290.72 = 3,810.69 : x
  2. Step 2: Convert to fraction form
    8,193.83/12,290.72 = 3,810.69/x
  3. Step 3: Cross multiply
    8,193.83x = 12,290.72 × 3,810.69
  4. Step 4: Simplify right side
    8,193.83x = 46,836,104.74
  5. Step 5: Solve for x
    x = 46,836,104.74/8,193.83
  6. Step 6: Final answer
    x = 5,716.02

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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.