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Finding the Fourth Proportional to 7,310.31, 10,960.65 and 4,147.80

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Solution

The fourth proportional to 7,310.31, 10,960.65 and 4,147.80 is: 6,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.31 : 10,960.65 = 4,147.80 : x
  2. Step 2: Convert to fraction form
    7,310.31/10,960.65 = 4,147.80/x
  3. Step 3: Cross multiply
    7,310.31x = 10,960.65 × 4,147.80
  4. Step 4: Simplify right side
    7,310.31x = 45,462,584.07
  5. Step 5: Solve for x
    x = 45,462,584.07/7,310.31
  6. Step 6: Final answer
    x = 6,218.97

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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.