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Finding the Fourth Proportional to 7,839.51, 10,814.67 and 5,711.73

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Solution

The fourth proportional to 7,839.51, 10,814.67 and 5,711.73 is: 7,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.51 : 10,814.67 = 5,711.73 : x
  2. Step 2: Convert to fraction form
    7,839.51/10,814.67 = 5,711.73/x
  3. Step 3: Cross multiply
    7,839.51x = 10,814.67 × 5,711.73
  4. Step 4: Simplify right side
    7,839.51x = 61,770,475.08
  5. Step 5: Solve for x
    x = 61,770,475.08/7,839.51
  6. Step 6: Final answer
    x = 7,879.38

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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.