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Finding the Fourth Proportional to 11,715.68, 16,168.12 and 6,410.96

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Solution

The fourth proportional to 11,715.68, 16,168.12 and 6,410.96 is: 8,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.68 : 16,168.12 = 6,410.96 : x
  2. Step 2: Convert to fraction form
    11,715.68/16,168.12 = 6,410.96/x
  3. Step 3: Cross multiply
    11,715.68x = 16,168.12 × 6,410.96
  4. Step 4: Simplify right side
    11,715.68x = 103,653,170.60
  5. Step 5: Solve for x
    x = 103,653,170.60/11,715.68
  6. Step 6: Final answer
    x = 8,847.39

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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.