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Finding the Fourth Proportional to 7,311.21, 10,958.98 and 5,224.89

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Solution

The fourth proportional to 7,311.21, 10,958.98 and 5,224.89 is: 7,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.21 : 10,958.98 = 5,224.89 : x
  2. Step 2: Convert to fraction form
    7,311.21/10,958.98 = 5,224.89/x
  3. Step 3: Cross multiply
    7,311.21x = 10,958.98 × 5,224.89
  4. Step 4: Simplify right side
    7,311.21x = 57,259,465.01
  5. Step 5: Solve for x
    x = 57,259,465.01/7,311.21
  6. Step 6: Final answer
    x = 7,831.74

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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.