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Finding the Fourth Proportional to 7,765.16, 11,649.66 and 2,571.56

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Solution

The fourth proportional to 7,765.16, 11,649.66 and 2,571.56 is: 3,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.16 : 11,649.66 = 2,571.56 : x
  2. Step 2: Convert to fraction form
    7,765.16/11,649.66 = 2,571.56/x
  3. Step 3: Cross multiply
    7,765.16x = 11,649.66 × 2,571.56
  4. Step 4: Simplify right side
    7,765.16x = 29,957,799.67
  5. Step 5: Solve for x
    x = 29,957,799.67/7,765.16
  6. Step 6: Final answer
    x = 3,857.98

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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.