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Finding the Fourth Proportional to 7,197.27, 10,785.41 and 3,189.82

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Solution

The fourth proportional to 7,197.27, 10,785.41 and 3,189.82 is: 4,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.27 : 10,785.41 = 3,189.82 : x
  2. Step 2: Convert to fraction form
    7,197.27/10,785.41 = 3,189.82/x
  3. Step 3: Cross multiply
    7,197.27x = 10,785.41 × 3,189.82
  4. Step 4: Simplify right side
    7,197.27x = 34,403,446.65
  5. Step 5: Solve for x
    x = 34,403,446.65/7,197.27
  6. Step 6: Final answer
    x = 4,780.07

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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.