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Finding the Fourth Proportional to 6,732.65, 10,090.19 and 4,198.70

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Solution

The fourth proportional to 6,732.65, 10,090.19 and 4,198.70 is: 6,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.65 : 10,090.19 = 4,198.70 : x
  2. Step 2: Convert to fraction form
    6,732.65/10,090.19 = 4,198.70/x
  3. Step 3: Cross multiply
    6,732.65x = 10,090.19 × 4,198.70
  4. Step 4: Simplify right side
    6,732.65x = 42,365,716.48
  5. Step 5: Solve for x
    x = 42,365,716.48/6,732.65
  6. Step 6: Final answer
    x = 6,292.57

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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.