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Finding the Fourth Proportional to 7,464.38, 10,301.10 and 4,107.44

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Solution

The fourth proportional to 7,464.38, 10,301.10 and 4,107.44 is: 5,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.38 : 10,301.10 = 4,107.44 : x
  2. Step 2: Convert to fraction form
    7,464.38/10,301.10 = 4,107.44/x
  3. Step 3: Cross multiply
    7,464.38x = 10,301.10 × 4,107.44
  4. Step 4: Simplify right side
    7,464.38x = 42,311,129.65
  5. Step 5: Solve for x
    x = 42,311,129.65/7,464.38
  6. Step 6: Final answer
    x = 5,668.41

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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.