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Finding the Fourth Proportional to 10,716.41, 14,791 and 6,241.05

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Solution

The fourth proportional to 10,716.41, 14,791 and 6,241.05 is: 8,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.41 : 14,791 = 6,241.05 : x
  2. Step 2: Convert to fraction form
    10,716.41/14,791 = 6,241.05/x
  3. Step 3: Cross multiply
    10,716.41x = 14,791 × 6,241.05
  4. Step 4: Simplify right side
    10,716.41x = 92,311,370.55
  5. Step 5: Solve for x
    x = 92,311,370.55/10,716.41
  6. Step 6: Final answer
    x = 8,614.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.