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Finding the Fourth Proportional to 11,716.19, 16,168.40 and 6,410.99

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Solution

The fourth proportional to 11,716.19, 16,168.40 and 6,410.99 is: 8,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.19 : 16,168.40 = 6,410.99 : x
  2. Step 2: Convert to fraction form
    11,716.19/16,168.40 = 6,410.99/x
  3. Step 3: Cross multiply
    11,716.19x = 16,168.40 × 6,410.99
  4. Step 4: Simplify right side
    11,716.19x = 103,655,450.72
  5. Step 5: Solve for x
    x = 103,655,450.72/11,716.19
  6. Step 6: Final answer
    x = 8,847.20

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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.