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Finding the Fourth Proportional to 7,763.14, 11,649.48 and 3,082.33

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Solution

The fourth proportional to 7,763.14, 11,649.48 and 3,082.33 is: 4,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.14 : 11,649.48 = 3,082.33 : x
  2. Step 2: Convert to fraction form
    7,763.14/11,649.48 = 3,082.33/x
  3. Step 3: Cross multiply
    7,763.14x = 11,649.48 × 3,082.33
  4. Step 4: Simplify right side
    7,763.14x = 35,907,541.69
  5. Step 5: Solve for x
    x = 35,907,541.69/7,763.14
  6. Step 6: Final answer
    x = 4,625.39

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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.