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Finding the Fourth Proportional to 11,199.92, 16,802.39 and 3,409.34

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Solution

The fourth proportional to 11,199.92, 16,802.39 and 3,409.34 is: 5,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.92 : 16,802.39 = 3,409.34 : x
  2. Step 2: Convert to fraction form
    11,199.92/16,802.39 = 3,409.34/x
  3. Step 3: Cross multiply
    11,199.92x = 16,802.39 × 3,409.34
  4. Step 4: Simplify right side
    11,199.92x = 57,285,043.28
  5. Step 5: Solve for x
    x = 57,285,043.28/11,199.92
  6. Step 6: Final answer
    x = 5,114.77

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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.