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Finding the Fourth Proportional to 11,200.56, 16,803.27 and 3,409.17

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Solution

The fourth proportional to 11,200.56, 16,803.27 and 3,409.17 is: 5,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.56 : 16,803.27 = 3,409.17 : x
  2. Step 2: Convert to fraction form
    11,200.56/16,803.27 = 3,409.17/x
  3. Step 3: Cross multiply
    11,200.56x = 16,803.27 × 3,409.17
  4. Step 4: Simplify right side
    11,200.56x = 57,285,245.08
  5. Step 5: Solve for x
    x = 57,285,245.08/11,200.56
  6. Step 6: Final answer
    x = 5,114.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.