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Finding the Fourth Proportional to 11,450, 15,790.20 and 10,556.48

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Solution

The fourth proportional to 11,450, 15,790.20 and 10,556.48 is: 14,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450 : 15,790.20 = 10,556.48 : x
  2. Step 2: Convert to fraction form
    11,450/15,790.20 = 10,556.48/x
  3. Step 3: Cross multiply
    11,450x = 15,790.20 × 10,556.48
  4. Step 4: Simplify right side
    11,450x = 166,688,930.50
  5. Step 5: Solve for x
    x = 166,688,930.50/11,450
  6. Step 6: Final answer
    x = 14,557.99

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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.