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Finding the Fourth Proportional to 10,940.57, 16,409.32 and 6,245.35

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Solution

The fourth proportional to 10,940.57, 16,409.32 and 6,245.35 is: 9,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.57 : 16,409.32 = 6,245.35 : x
  2. Step 2: Convert to fraction form
    10,940.57/16,409.32 = 6,245.35/x
  3. Step 3: Cross multiply
    10,940.57x = 16,409.32 × 6,245.35
  4. Step 4: Simplify right side
    10,940.57x = 102,481,890.03
  5. Step 5: Solve for x
    x = 102,481,890.03/10,940.57
  6. Step 6: Final answer
    x = 9,367.14

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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.