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Finding the Fourth Proportional to 7,546.38, 10,412.79 and 4,189.13

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Solution

The fourth proportional to 7,546.38, 10,412.79 and 4,189.13 is: 5,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.38 : 10,412.79 = 4,189.13 : x
  2. Step 2: Convert to fraction form
    7,546.38/10,412.79 = 4,189.13/x
  3. Step 3: Cross multiply
    7,546.38x = 10,412.79 × 4,189.13
  4. Step 4: Simplify right side
    7,546.38x = 43,620,478.91
  5. Step 5: Solve for x
    x = 43,620,478.91/7,546.38
  6. Step 6: Final answer
    x = 5,780.32

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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.