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Finding the Fourth Proportional to 8,131.96, 12,188.49 and 5,357.98

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Solution

The fourth proportional to 8,131.96, 12,188.49 and 5,357.98 is: 8,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.96 : 12,188.49 = 5,357.98 : x
  2. Step 2: Convert to fraction form
    8,131.96/12,188.49 = 5,357.98/x
  3. Step 3: Cross multiply
    8,131.96x = 12,188.49 × 5,357.98
  4. Step 4: Simplify right side
    8,131.96x = 65,305,685.65
  5. Step 5: Solve for x
    x = 65,305,685.65/8,131.96
  6. Step 6: Final answer
    x = 8,030.74

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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.