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Finding the Fourth Proportional to 10,910.68, 16,363.62 and 3,119.32

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Solution

The fourth proportional to 10,910.68, 16,363.62 and 3,119.32 is: 4,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.68 : 16,363.62 = 3,119.32 : x
  2. Step 2: Convert to fraction form
    10,910.68/16,363.62 = 3,119.32/x
  3. Step 3: Cross multiply
    10,910.68x = 16,363.62 × 3,119.32
  4. Step 4: Simplify right side
    10,910.68x = 51,043,367.14
  5. Step 5: Solve for x
    x = 51,043,367.14/10,910.68
  6. Step 6: Final answer
    x = 4,678.29

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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.