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Finding the Fourth Proportional to 8,147.38, 11,242.68 and 4,743.86

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Solution

The fourth proportional to 8,147.38, 11,242.68 and 4,743.86 is: 6,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.38 : 11,242.68 = 4,743.86 : x
  2. Step 2: Convert to fraction form
    8,147.38/11,242.68 = 4,743.86/x
  3. Step 3: Cross multiply
    8,147.38x = 11,242.68 × 4,743.86
  4. Step 4: Simplify right side
    8,147.38x = 53,333,699.94
  5. Step 5: Solve for x
    x = 53,333,699.94/8,147.38
  6. Step 6: Final answer
    x = 6,546.12

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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.