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Finding the Fourth Proportional to 7,514.65, 10,369.42 and 4,157.38

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Solution

The fourth proportional to 7,514.65, 10,369.42 and 4,157.38 is: 5,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.65 : 10,369.42 = 4,157.38 : x
  2. Step 2: Convert to fraction form
    7,514.65/10,369.42 = 4,157.38/x
  3. Step 3: Cross multiply
    7,514.65x = 10,369.42 × 4,157.38
  4. Step 4: Simplify right side
    7,514.65x = 43,109,563.56
  5. Step 5: Solve for x
    x = 43,109,563.56/7,514.65
  6. Step 6: Final answer
    x = 5,736.74

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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.