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Finding the Fourth Proportional to 7,697.97, 11,549.25 and 2,768.04

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Solution

The fourth proportional to 7,697.97, 11,549.25 and 2,768.04 is: 4,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.97 : 11,549.25 = 2,768.04 : x
  2. Step 2: Convert to fraction form
    7,697.97/11,549.25 = 2,768.04/x
  3. Step 3: Cross multiply
    7,697.97x = 11,549.25 × 2,768.04
  4. Step 4: Simplify right side
    7,697.97x = 31,968,785.97
  5. Step 5: Solve for x
    x = 31,968,785.97/7,697.97
  6. Step 6: Final answer
    x = 4,152.89

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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.