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Finding the Fourth Proportional to 7,711.20, 11,559.87 and 2,779.68

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Solution

The fourth proportional to 7,711.20, 11,559.87 and 2,779.68 is: 4,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.20 : 11,559.87 = 2,779.68 : x
  2. Step 2: Convert to fraction form
    7,711.20/11,559.87 = 2,779.68/x
  3. Step 3: Cross multiply
    7,711.20x = 11,559.87 × 2,779.68
  4. Step 4: Simplify right side
    7,711.20x = 32,132,739.44
  5. Step 5: Solve for x
    x = 32,132,739.44/7,711.20
  6. Step 6: Final answer
    x = 4,167.02

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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.