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Finding the Fourth Proportional to 10,421.55, 14,380.74 and 6,174.27

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Solution

The fourth proportional to 10,421.55, 14,380.74 and 6,174.27 is: 8,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.55 : 14,380.74 = 6,174.27 : x
  2. Step 2: Convert to fraction form
    10,421.55/14,380.74 = 6,174.27/x
  3. Step 3: Cross multiply
    10,421.55x = 14,380.74 × 6,174.27
  4. Step 4: Simplify right side
    10,421.55x = 88,790,571.56
  5. Step 5: Solve for x
    x = 88,790,571.56/10,421.55
  6. Step 6: Final answer
    x = 8,519.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.