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Finding the Fourth Proportional to 11,873, 16,384.42 and 6,769.44

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Solution

The fourth proportional to 11,873, 16,384.42 and 6,769.44 is: 9,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873 : 16,384.42 = 6,769.44 : x
  2. Step 2: Convert to fraction form
    11,873/16,384.42 = 6,769.44/x
  3. Step 3: Cross multiply
    11,873x = 16,384.42 × 6,769.44
  4. Step 4: Simplify right side
    11,873x = 110,913,348.12
  5. Step 5: Solve for x
    x = 110,913,348.12/11,873
  6. Step 6: Final answer
    x = 9,341.64

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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.