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Finding the Fourth Proportional to 7,765.19, 11,649.61 and 2,571.07

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Solution

The fourth proportional to 7,765.19, 11,649.61 and 2,571.07 is: 3,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.19 : 11,649.61 = 2,571.07 : x
  2. Step 2: Convert to fraction form
    7,765.19/11,649.61 = 2,571.07/x
  3. Step 3: Cross multiply
    7,765.19x = 11,649.61 × 2,571.07
  4. Step 4: Simplify right side
    7,765.19x = 29,951,891.68
  5. Step 5: Solve for x
    x = 29,951,891.68/7,765.19
  6. Step 6: Final answer
    x = 3,857.20

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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.