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Finding the Fourth Proportional to 11,716.68, 16,168.64 and 6,411.36

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Solution

The fourth proportional to 11,716.68, 16,168.64 and 6,411.36 is: 8,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.68 : 16,168.64 = 6,411.36 : x
  2. Step 2: Convert to fraction form
    11,716.68/16,168.64 = 6,411.36/x
  3. Step 3: Cross multiply
    11,716.68x = 16,168.64 × 6,411.36
  4. Step 4: Simplify right side
    11,716.68x = 103,662,971.75
  5. Step 5: Solve for x
    x = 103,662,971.75/11,716.68
  6. Step 6: Final answer
    x = 8,847.47

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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.