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Finding the Fourth Proportional to 7,697.70, 11,543.58 and 2,765.88

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Solution

The fourth proportional to 7,697.70, 11,543.58 and 2,765.88 is: 4,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.70 : 11,543.58 = 2,765.88 : x
  2. Step 2: Convert to fraction form
    7,697.70/11,543.58 = 2,765.88/x
  3. Step 3: Cross multiply
    7,697.70x = 11,543.58 × 2,765.88
  4. Step 4: Simplify right side
    7,697.70x = 31,928,157.05
  5. Step 5: Solve for x
    x = 31,928,157.05/7,697.70
  6. Step 6: Final answer
    x = 4,147.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.