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Finding the Fourth Proportional to 7,846.74, 10,834.29 and 5,198.58

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Solution

The fourth proportional to 7,846.74, 10,834.29 and 5,198.58 is: 7,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.74 : 10,834.29 = 5,198.58 : x
  2. Step 2: Convert to fraction form
    7,846.74/10,834.29 = 5,198.58/x
  3. Step 3: Cross multiply
    7,846.74x = 10,834.29 × 5,198.58
  4. Step 4: Simplify right side
    7,846.74x = 56,322,923.31
  5. Step 5: Solve for x
    x = 56,322,923.31/7,846.74
  6. Step 6: Final answer
    x = 7,177.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.