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Finding the Fourth Proportional to 11,723.96, 16,179.06 and 6,419.12

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Solution

The fourth proportional to 11,723.96, 16,179.06 and 6,419.12 is: 8,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.96 : 16,179.06 = 6,419.12 : x
  2. Step 2: Convert to fraction form
    11,723.96/16,179.06 = 6,419.12/x
  3. Step 3: Cross multiply
    11,723.96x = 16,179.06 × 6,419.12
  4. Step 4: Simplify right side
    11,723.96x = 103,855,327.63
  5. Step 5: Solve for x
    x = 103,855,327.63/11,723.96
  6. Step 6: Final answer
    x = 8,858.38

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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.