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Finding the Fourth Proportional to 6,716.40, 10,074.24 and 3,429.36

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Solution

The fourth proportional to 6,716.40, 10,074.24 and 3,429.36 is: 5,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.40 : 10,074.24 = 3,429.36 : x
  2. Step 2: Convert to fraction form
    6,716.40/10,074.24 = 3,429.36/x
  3. Step 3: Cross multiply
    6,716.40x = 10,074.24 × 3,429.36
  4. Step 4: Simplify right side
    6,716.40x = 34,548,195.69
  5. Step 5: Solve for x
    x = 34,548,195.69/6,716.40
  6. Step 6: Final answer
    x = 5,143.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.