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Finding the Fourth Proportional to 7,698.81, 11,546.38 and 2,768.34

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Solution

The fourth proportional to 7,698.81, 11,546.38 and 2,768.34 is: 4,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.81 : 11,546.38 = 2,768.34 : x
  2. Step 2: Convert to fraction form
    7,698.81/11,546.38 = 2,768.34/x
  3. Step 3: Cross multiply
    7,698.81x = 11,546.38 × 2,768.34
  4. Step 4: Simplify right side
    7,698.81x = 31,964,305.61
  5. Step 5: Solve for x
    x = 31,964,305.61/7,698.81
  6. Step 6: Final answer
    x = 4,151.85

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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.