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Finding the Fourth Proportional to 8,132.44, 12,189.24 and 3,740.68

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Solution

The fourth proportional to 8,132.44, 12,189.24 and 3,740.68 is: 5,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.44 : 12,189.24 = 3,740.68 : x
  2. Step 2: Convert to fraction form
    8,132.44/12,189.24 = 3,740.68/x
  3. Step 3: Cross multiply
    8,132.44x = 12,189.24 × 3,740.68
  4. Step 4: Simplify right side
    8,132.44x = 45,596,046.28
  5. Step 5: Solve for x
    x = 45,596,046.28/8,132.44
  6. Step 6: Final answer
    x = 5,606.69

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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.