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Finding the Fourth Proportional to 7,766.34, 11,649.54 and 2,571

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Solution

The fourth proportional to 7,766.34, 11,649.54 and 2,571 is: 3,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.34 : 11,649.54 = 2,571 : x
  2. Step 2: Convert to fraction form
    7,766.34/11,649.54 = 2,571/x
  3. Step 3: Cross multiply
    7,766.34x = 11,649.54 × 2,571
  4. Step 4: Simplify right side
    7,766.34x = 29,950,967.34
  5. Step 5: Solve for x
    x = 29,950,967.34/7,766.34
  6. Step 6: Final answer
    x = 3,856.51

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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.