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Finding the Fourth Proportional to 6,779.40, 10,174.11 and 3,221.55

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Solution

The fourth proportional to 6,779.40, 10,174.11 and 3,221.55 is: 4,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.40 : 10,174.11 = 3,221.55 : x
  2. Step 2: Convert to fraction form
    6,779.40/10,174.11 = 3,221.55/x
  3. Step 3: Cross multiply
    6,779.40x = 10,174.11 × 3,221.55
  4. Step 4: Simplify right side
    6,779.40x = 32,776,404.07
  5. Step 5: Solve for x
    x = 32,776,404.07/6,779.40
  6. Step 6: Final answer
    x = 4,834.71

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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.