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Finding the Fourth Proportional to 7,797.20, 11,696.12 and 2,864.13

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Solution

The fourth proportional to 7,797.20, 11,696.12 and 2,864.13 is: 4,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.20 : 11,696.12 = 2,864.13 : x
  2. Step 2: Convert to fraction form
    7,797.20/11,696.12 = 2,864.13/x
  3. Step 3: Cross multiply
    7,797.20x = 11,696.12 × 2,864.13
  4. Step 4: Simplify right side
    7,797.20x = 33,499,193.85
  5. Step 5: Solve for x
    x = 33,499,193.85/7,797.20
  6. Step 6: Final answer
    x = 4,296.31

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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.