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Finding the Fourth Proportional to 10,546.80, 15,797.36 and 4,991.76

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Solution

The fourth proportional to 10,546.80, 15,797.36 and 4,991.76 is: 7,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.80 : 15,797.36 = 4,991.76 : x
  2. Step 2: Convert to fraction form
    10,546.80/15,797.36 = 4,991.76/x
  3. Step 3: Cross multiply
    10,546.80x = 15,797.36 × 4,991.76
  4. Step 4: Simplify right side
    10,546.80x = 78,856,629.75
  5. Step 5: Solve for x
    x = 78,856,629.75/10,546.80
  6. Step 6: Final answer
    x = 7,476.83

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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.