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Finding the Fourth Proportional to 6,779.85, 10,171.34 and 3,083.15

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Solution

The fourth proportional to 6,779.85, 10,171.34 and 3,083.15 is: 4,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.85 : 10,171.34 = 3,083.15 : x
  2. Step 2: Convert to fraction form
    6,779.85/10,171.34 = 3,083.15/x
  3. Step 3: Cross multiply
    6,779.85x = 10,171.34 × 3,083.15
  4. Step 4: Simplify right side
    6,779.85x = 31,359,700.65
  5. Step 5: Solve for x
    x = 31,359,700.65/6,779.85
  6. Step 6: Final answer
    x = 4,625.43

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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.