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Finding the Fourth Proportional to 8,101.67, 12,157.29 and 3,421.38

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Solution

The fourth proportional to 8,101.67, 12,157.29 and 3,421.38 is: 5,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.67 : 12,157.29 = 3,421.38 : x
  2. Step 2: Convert to fraction form
    8,101.67/12,157.29 = 3,421.38/x
  3. Step 3: Cross multiply
    8,101.67x = 12,157.29 × 3,421.38
  4. Step 4: Simplify right side
    8,101.67x = 41,594,708.86
  5. Step 5: Solve for x
    x = 41,594,708.86/8,101.67
  6. Step 6: Final answer
    x = 5,134.09

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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.