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Finding the Fourth Proportional to 6,518.80, 9,779.68 and 2,136.16

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Solution

The fourth proportional to 6,518.80, 9,779.68 and 2,136.16 is: 3,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.80 : 9,779.68 = 2,136.16 : x
  2. Step 2: Convert to fraction form
    6,518.80/9,779.68 = 2,136.16/x
  3. Step 3: Cross multiply
    6,518.80x = 9,779.68 × 2,136.16
  4. Step 4: Simplify right side
    6,518.80x = 20,890,961.23
  5. Step 5: Solve for x
    x = 20,890,961.23/6,518.80
  6. Step 6: Final answer
    x = 3,204.72

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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.