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Finding the Fourth Proportional to 11,198.96, 16,802.08 and 5,356

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Solution

The fourth proportional to 11,198.96, 16,802.08 and 5,356 is: 8,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.96 : 16,802.08 = 5,356 : x
  2. Step 2: Convert to fraction form
    11,198.96/16,802.08 = 5,356/x
  3. Step 3: Cross multiply
    11,198.96x = 16,802.08 × 5,356
  4. Step 4: Simplify right side
    11,198.96x = 89,991,940.48
  5. Step 5: Solve for x
    x = 89,991,940.48/11,198.96
  6. Step 6: Final answer
    x = 8,035.74

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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.