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Finding the Fourth Proportional to 6,174.12, 8,519.13 and 4,077

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Solution

The fourth proportional to 6,174.12, 8,519.13 and 4,077 is: 5,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.12 : 8,519.13 = 4,077 : x
  2. Step 2: Convert to fraction form
    6,174.12/8,519.13 = 4,077/x
  3. Step 3: Cross multiply
    6,174.12x = 8,519.13 × 4,077
  4. Step 4: Simplify right side
    6,174.12x = 34,732,493.01
  5. Step 5: Solve for x
    x = 34,732,493.01/6,174.12
  6. Step 6: Final answer
    x = 5,625.50

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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.