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Finding the Fourth Proportional to 10,894.20, 16,338.47 and 3,494.85

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Solution

The fourth proportional to 10,894.20, 16,338.47 and 3,494.85 is: 5,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.20 : 16,338.47 = 3,494.85 : x
  2. Step 2: Convert to fraction form
    10,894.20/16,338.47 = 3,494.85/x
  3. Step 3: Cross multiply
    10,894.20x = 16,338.47 × 3,494.85
  4. Step 4: Simplify right side
    10,894.20x = 57,100,484.41
  5. Step 5: Solve for x
    x = 57,100,484.41/10,894.20
  6. Step 6: Final answer
    x = 5,241.37

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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.