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Finding the Fourth Proportional to 11,199.02, 16,800.34 and 3,406

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Solution

The fourth proportional to 11,199.02, 16,800.34 and 3,406 is: 5,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.02 : 16,800.34 = 3,406 : x
  2. Step 2: Convert to fraction form
    11,199.02/16,800.34 = 3,406/x
  3. Step 3: Cross multiply
    11,199.02x = 16,800.34 × 3,406
  4. Step 4: Simplify right side
    11,199.02x = 57,221,958.04
  5. Step 5: Solve for x
    x = 57,221,958.04/11,199.02
  6. Step 6: Final answer
    x = 5,109.55

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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.