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Finding the Fourth Proportional to 11,724.57, 16,179.95 and 6,419.34

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Solution

The fourth proportional to 11,724.57, 16,179.95 and 6,419.34 is: 8,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.57 : 16,179.95 = 6,419.34 : x
  2. Step 2: Convert to fraction form
    11,724.57/16,179.95 = 6,419.34/x
  3. Step 3: Cross multiply
    11,724.57x = 16,179.95 × 6,419.34
  4. Step 4: Simplify right side
    11,724.57x = 103,864,616.28
  5. Step 5: Solve for x
    x = 103,864,616.28/11,724.57
  6. Step 6: Final answer
    x = 8,858.71

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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.