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Finding the Fourth Proportional to 7,770.24, 11,651.04 and 3,147.84

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Solution

The fourth proportional to 7,770.24, 11,651.04 and 3,147.84 is: 4,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.24 : 11,651.04 = 3,147.84 : x
  2. Step 2: Convert to fraction form
    7,770.24/11,651.04 = 3,147.84/x
  3. Step 3: Cross multiply
    7,770.24x = 11,651.04 × 3,147.84
  4. Step 4: Simplify right side
    7,770.24x = 36,675,609.75
  5. Step 5: Solve for x
    x = 36,675,609.75/7,770.24
  6. Step 6: Final answer
    x = 4,720.01

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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.