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Finding the Fourth Proportional to 7,796.88, 10,760 and 4,260.24

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Solution

The fourth proportional to 7,796.88, 10,760 and 4,260.24 is: 5,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.88 : 10,760 = 4,260.24 : x
  2. Step 2: Convert to fraction form
    7,796.88/10,760 = 4,260.24/x
  3. Step 3: Cross multiply
    7,796.88x = 10,760 × 4,260.24
  4. Step 4: Simplify right side
    7,796.88x = 45,840,182.40
  5. Step 5: Solve for x
    x = 45,840,182.40/7,796.88
  6. Step 6: Final answer
    x = 5,879.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.