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Finding the Fourth Proportional to 8,110.69, 12,157.14 and 3,174.90

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Solution

The fourth proportional to 8,110.69, 12,157.14 and 3,174.90 is: 4,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.69 : 12,157.14 = 3,174.90 : x
  2. Step 2: Convert to fraction form
    8,110.69/12,157.14 = 3,174.90/x
  3. Step 3: Cross multiply
    8,110.69x = 12,157.14 × 3,174.90
  4. Step 4: Simplify right side
    8,110.69x = 38,597,703.79
  5. Step 5: Solve for x
    x = 38,597,703.79/8,110.69
  6. Step 6: Final answer
    x = 4,758.87

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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.