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Finding the Fourth Proportional to 8,195.68, 12,293.53 and 3,512.65

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Solution

The fourth proportional to 8,195.68, 12,293.53 and 3,512.65 is: 5,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.68 : 12,293.53 = 3,512.65 : x
  2. Step 2: Convert to fraction form
    8,195.68/12,293.53 = 3,512.65/x
  3. Step 3: Cross multiply
    8,195.68x = 12,293.53 × 3,512.65
  4. Step 4: Simplify right side
    8,195.68x = 43,182,859.37
  5. Step 5: Solve for x
    x = 43,182,859.37/8,195.68
  6. Step 6: Final answer
    x = 5,268.98

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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.