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Finding the Fourth Proportional to 11,065.14, 16,595.01 and 3,274.02

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Solution

The fourth proportional to 11,065.14, 16,595.01 and 3,274.02 is: 4,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.14 : 16,595.01 = 3,274.02 : x
  2. Step 2: Convert to fraction form
    11,065.14/16,595.01 = 3,274.02/x
  3. Step 3: Cross multiply
    11,065.14x = 16,595.01 × 3,274.02
  4. Step 4: Simplify right side
    11,065.14x = 54,332,394.64
  5. Step 5: Solve for x
    x = 54,332,394.64/11,065.14
  6. Step 6: Final answer
    x = 4,910.23

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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.