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Finding the Fourth Proportional to 8,193.68, 12,290.97 and 2,350.13

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Solution

The fourth proportional to 8,193.68, 12,290.97 and 2,350.13 is: 3,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.68 : 12,290.97 = 2,350.13 : x
  2. Step 2: Convert to fraction form
    8,193.68/12,290.97 = 2,350.13/x
  3. Step 3: Cross multiply
    8,193.68x = 12,290.97 × 2,350.13
  4. Step 4: Simplify right side
    8,193.68x = 28,885,315.87
  5. Step 5: Solve for x
    x = 28,885,315.87/8,193.68
  6. Step 6: Final answer
    x = 3,525.32

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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.