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Finding the Fourth Proportional to 6,711.39, 9,260.87 and 3,726.68

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Solution

The fourth proportional to 6,711.39, 9,260.87 and 3,726.68 is: 5,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.39 : 9,260.87 = 3,726.68 : x
  2. Step 2: Convert to fraction form
    6,711.39/9,260.87 = 3,726.68/x
  3. Step 3: Cross multiply
    6,711.39x = 9,260.87 × 3,726.68
  4. Step 4: Simplify right side
    6,711.39x = 34,512,234.07
  5. Step 5: Solve for x
    x = 34,512,234.07/6,711.39
  6. Step 6: Final answer
    x = 5,142.34

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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.