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Finding the Fourth Proportional to 7,311.99, 10,043.40 and 7,171.91

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Solution

The fourth proportional to 7,311.99, 10,043.40 and 7,171.91 is: 9,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.99 : 10,043.40 = 7,171.91 : x
  2. Step 2: Convert to fraction form
    7,311.99/10,043.40 = 7,171.91/x
  3. Step 3: Cross multiply
    7,311.99x = 10,043.40 × 7,171.91
  4. Step 4: Simplify right side
    7,311.99x = 72,030,310.68
  5. Step 5: Solve for x
    x = 72,030,310.68/7,311.99
  6. Step 6: Final answer
    x = 9,850.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.