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Finding the Fourth Proportional to 6,779.60, 10,165.34 and 3,267.44

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Solution

The fourth proportional to 6,779.60, 10,165.34 and 3,267.44 is: 4,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.60 : 10,165.34 = 3,267.44 : x
  2. Step 2: Convert to fraction form
    6,779.60/10,165.34 = 3,267.44/x
  3. Step 3: Cross multiply
    6,779.60x = 10,165.34 × 3,267.44
  4. Step 4: Simplify right side
    6,779.60x = 33,214,638.53
  5. Step 5: Solve for x
    x = 33,214,638.53/6,779.60
  6. Step 6: Final answer
    x = 4,899.20

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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.