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Finding the Fourth Proportional to 7,861.17, 11,781.34 and 5,771.41

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Solution

The fourth proportional to 7,861.17, 11,781.34 and 5,771.41 is: 8,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.17 : 11,781.34 = 5,771.41 : x
  2. Step 2: Convert to fraction form
    7,861.17/11,781.34 = 5,771.41/x
  3. Step 3: Cross multiply
    7,861.17x = 11,781.34 × 5,771.41
  4. Step 4: Simplify right side
    7,861.17x = 67,994,943.49
  5. Step 5: Solve for x
    x = 67,994,943.49/7,861.17
  6. Step 6: Final answer
    x = 8,649.47

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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.