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Finding the Fourth Proportional to 7,797, 10,759.98 and 4,260.48

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Solution

The fourth proportional to 7,797, 10,759.98 and 4,260.48 is: 5,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797 : 10,759.98 = 4,260.48 : x
  2. Step 2: Convert to fraction form
    7,797/10,759.98 = 4,260.48/x
  3. Step 3: Cross multiply
    7,797x = 10,759.98 × 4,260.48
  4. Step 4: Simplify right side
    7,797x = 45,842,679.59
  5. Step 5: Solve for x
    x = 45,842,679.59/7,797
  6. Step 6: Final answer
    x = 5,879.53

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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.