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Finding the Fourth Proportional to 7,311.50, 10,091.49 and 5,046.02

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Solution

The fourth proportional to 7,311.50, 10,091.49 and 5,046.02 is: 6,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.50 : 10,091.49 = 5,046.02 : x
  2. Step 2: Convert to fraction form
    7,311.50/10,091.49 = 5,046.02/x
  3. Step 3: Cross multiply
    7,311.50x = 10,091.49 × 5,046.02
  4. Step 4: Simplify right side
    7,311.50x = 50,921,860.37
  5. Step 5: Solve for x
    x = 50,921,860.37/7,311.50
  6. Step 6: Final answer
    x = 6,964.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.