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Finding the Fourth Proportional to 11,716.34, 16,168.50 and 6,411.14

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Solution

The fourth proportional to 11,716.34, 16,168.50 and 6,411.14 is: 8,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.34 : 16,168.50 = 6,411.14 : x
  2. Step 2: Convert to fraction form
    11,716.34/16,168.50 = 6,411.14/x
  3. Step 3: Cross multiply
    11,716.34x = 16,168.50 × 6,411.14
  4. Step 4: Simplify right side
    11,716.34x = 103,658,436.25
  5. Step 5: Solve for x
    x = 103,658,436.25/11,716.34
  6. Step 6: Final answer
    x = 8,847.34

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Why These Related Problems?

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