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Finding the Fourth Proportional to 7,782.28, 11,673.05 and 3,620.80

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Solution

The fourth proportional to 7,782.28, 11,673.05 and 3,620.80 is: 5,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.28 : 11,673.05 = 3,620.80 : x
  2. Step 2: Convert to fraction form
    7,782.28/11,673.05 = 3,620.80/x
  3. Step 3: Cross multiply
    7,782.28x = 11,673.05 × 3,620.80
  4. Step 4: Simplify right side
    7,782.28x = 42,265,775.93
  5. Step 5: Solve for x
    x = 42,265,775.93/7,782.28
  6. Step 6: Final answer
    x = 5,431.03

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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.