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Finding the Fourth Proportional to 7,765.26, 11,648.76 and 2,571.13

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Solution

The fourth proportional to 7,765.26, 11,648.76 and 2,571.13 is: 3,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.26 : 11,648.76 = 2,571.13 : x
  2. Step 2: Convert to fraction form
    7,765.26/11,648.76 = 2,571.13/x
  3. Step 3: Cross multiply
    7,765.26x = 11,648.76 × 2,571.13
  4. Step 4: Simplify right side
    7,765.26x = 29,950,476.30
  5. Step 5: Solve for x
    x = 29,950,476.30/7,765.26
  6. Step 6: Final answer
    x = 3,856.98

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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.