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Finding the Fourth Proportional to 8,340.98, 12,511.46 and 6,779.09

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Solution

The fourth proportional to 8,340.98, 12,511.46 and 6,779.09 is: 10,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.98 : 12,511.46 = 6,779.09 : x
  2. Step 2: Convert to fraction form
    8,340.98/12,511.46 = 6,779.09/x
  3. Step 3: Cross multiply
    8,340.98x = 12,511.46 × 6,779.09
  4. Step 4: Simplify right side
    8,340.98x = 84,816,361.60
  5. Step 5: Solve for x
    x = 84,816,361.60/8,340.98
  6. Step 6: Final answer
    x = 10,168.64

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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.