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Finding the Fourth Proportional to 7,697.75, 11,548.70 and 2,767.44

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Solution

The fourth proportional to 7,697.75, 11,548.70 and 2,767.44 is: 4,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.75 : 11,548.70 = 2,767.44 : x
  2. Step 2: Convert to fraction form
    7,697.75/11,548.70 = 2,767.44/x
  3. Step 3: Cross multiply
    7,697.75x = 11,548.70 × 2,767.44
  4. Step 4: Simplify right side
    7,697.75x = 31,960,320.49
  5. Step 5: Solve for x
    x = 31,960,320.49/7,697.75
  6. Step 6: Final answer
    x = 4,151.91

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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.