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Finding the Fourth Proportional to 10,914.92, 16,372.80 and 3,519.50

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Solution

The fourth proportional to 10,914.92, 16,372.80 and 3,519.50 is: 5,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.92 : 16,372.80 = 3,519.50 : x
  2. Step 2: Convert to fraction form
    10,914.92/16,372.80 = 3,519.50/x
  3. Step 3: Cross multiply
    10,914.92x = 16,372.80 × 3,519.50
  4. Step 4: Simplify right side
    10,914.92x = 57,624,069.60
  5. Step 5: Solve for x
    x = 57,624,069.60/10,914.92
  6. Step 6: Final answer
    x = 5,279.39

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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.