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Finding the Fourth Proportional to 11,206.38, 15,464.22 and 6,171.04

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Solution

The fourth proportional to 11,206.38, 15,464.22 and 6,171.04 is: 8,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.38 : 15,464.22 = 6,171.04 : x
  2. Step 2: Convert to fraction form
    11,206.38/15,464.22 = 6,171.04/x
  3. Step 3: Cross multiply
    11,206.38x = 15,464.22 × 6,171.04
  4. Step 4: Simplify right side
    11,206.38x = 95,430,320.19
  5. Step 5: Solve for x
    x = 95,430,320.19/11,206.38
  6. Step 6: Final answer
    x = 8,515.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.