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Finding the Fourth Proportional to 10,798.92, 16,198.38 and 3,404.07

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Solution

The fourth proportional to 10,798.92, 16,198.38 and 3,404.07 is: 5,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.92 : 16,198.38 = 3,404.07 : x
  2. Step 2: Convert to fraction form
    10,798.92/16,198.38 = 3,404.07/x
  3. Step 3: Cross multiply
    10,798.92x = 16,198.38 × 3,404.07
  4. Step 4: Simplify right side
    10,798.92x = 55,140,419.41
  5. Step 5: Solve for x
    x = 55,140,419.41/10,798.92
  6. Step 6: Final answer
    x = 5,106.11

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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.