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Finding the Fourth Proportional to 8,739.27, 12,059.55 and 5,201.82

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Solution

The fourth proportional to 8,739.27, 12,059.55 and 5,201.82 is: 7,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.27 : 12,059.55 = 5,201.82 : x
  2. Step 2: Convert to fraction form
    8,739.27/12,059.55 = 5,201.82/x
  3. Step 3: Cross multiply
    8,739.27x = 12,059.55 × 5,201.82
  4. Step 4: Simplify right side
    8,739.27x = 62,731,608.38
  5. Step 5: Solve for x
    x = 62,731,608.38/8,739.27
  6. Step 6: Final answer
    x = 7,178.13

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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.