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Finding the Fourth Proportional to 7,469.56, 10,308.09 and 4,325.14

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Solution

The fourth proportional to 7,469.56, 10,308.09 and 4,325.14 is: 5,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.56 : 10,308.09 = 4,325.14 : x
  2. Step 2: Convert to fraction form
    7,469.56/10,308.09 = 4,325.14/x
  3. Step 3: Cross multiply
    7,469.56x = 10,308.09 × 4,325.14
  4. Step 4: Simplify right side
    7,469.56x = 44,583,932.38
  5. Step 5: Solve for x
    x = 44,583,932.38/7,469.56
  6. Step 6: Final answer
    x = 5,968.75

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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.