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Finding the Fourth Proportional to 11,715.90, 16,168.17 and 6,410.82

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Solution

The fourth proportional to 11,715.90, 16,168.17 and 6,410.82 is: 8,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.90 : 16,168.17 = 6,410.82 : x
  2. Step 2: Convert to fraction form
    11,715.90/16,168.17 = 6,410.82/x
  3. Step 3: Cross multiply
    11,715.90x = 16,168.17 × 6,410.82
  4. Step 4: Simplify right side
    11,715.90x = 103,651,227.60
  5. Step 5: Solve for x
    x = 103,651,227.60/11,715.90
  6. Step 6: Final answer
    x = 8,847.06

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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.