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Finding the Fourth Proportional to 7,896.50, 11,844.80 and 3,279.50

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Solution

The fourth proportional to 7,896.50, 11,844.80 and 3,279.50 is: 4,919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.50 : 11,844.80 = 3,279.50 : x
  2. Step 2: Convert to fraction form
    7,896.50/11,844.80 = 3,279.50/x
  3. Step 3: Cross multiply
    7,896.50x = 11,844.80 × 3,279.50
  4. Step 4: Simplify right side
    7,896.50x = 38,845,005.20
  5. Step 5: Solve for x
    x = 38,845,005.20/7,896.50
  6. Step 6: Final answer
    x = 4,919.27

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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.