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Finding the Fourth Proportional to 8,131.28, 12,194.36 and 2,658

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Solution

The fourth proportional to 8,131.28, 12,194.36 and 2,658 is: 3,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.28 : 12,194.36 = 2,658 : x
  2. Step 2: Convert to fraction form
    8,131.28/12,194.36 = 2,658/x
  3. Step 3: Cross multiply
    8,131.28x = 12,194.36 × 2,658
  4. Step 4: Simplify right side
    8,131.28x = 32,412,608.88
  5. Step 5: Solve for x
    x = 32,412,608.88/8,131.28
  6. Step 6: Final answer
    x = 3,986.16

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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.