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Finding the Fourth Proportional to 7,704.77, 11,557.23 and 2,770.96

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Solution

The fourth proportional to 7,704.77, 11,557.23 and 2,770.96 is: 4,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.77 : 11,557.23 = 2,770.96 : x
  2. Step 2: Convert to fraction form
    7,704.77/11,557.23 = 2,770.96/x
  3. Step 3: Cross multiply
    7,704.77x = 11,557.23 × 2,770.96
  4. Step 4: Simplify right side
    7,704.77x = 32,024,620.01
  5. Step 5: Solve for x
    x = 32,024,620.01/7,704.77
  6. Step 6: Final answer
    x = 4,156.47

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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.