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Finding the Fourth Proportional to 7,164.04, 10,749.14 and 3,469.04

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Solution

The fourth proportional to 7,164.04, 10,749.14 and 3,469.04 is: 5,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.04 : 10,749.14 = 3,469.04 : x
  2. Step 2: Convert to fraction form
    7,164.04/10,749.14 = 3,469.04/x
  3. Step 3: Cross multiply
    7,164.04x = 10,749.14 × 3,469.04
  4. Step 4: Simplify right side
    7,164.04x = 37,289,196.63
  5. Step 5: Solve for x
    x = 37,289,196.63/7,164.04
  6. Step 6: Final answer
    x = 5,205.05

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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.