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Finding the Fourth Proportional to 11,138.60, 16,694.40 and 6,449.60

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Solution

The fourth proportional to 11,138.60, 16,694.40 and 6,449.60 is: 9,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.60 : 16,694.40 = 6,449.60 : x
  2. Step 2: Convert to fraction form
    11,138.60/16,694.40 = 6,449.60/x
  3. Step 3: Cross multiply
    11,138.60x = 16,694.40 × 6,449.60
  4. Step 4: Simplify right side
    11,138.60x = 107,672,202.24
  5. Step 5: Solve for x
    x = 107,672,202.24/11,138.60
  6. Step 6: Final answer
    x = 9,666.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.