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Finding the Fourth Proportional to 7,771.49, 11,655.27 and 2,224.86

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Solution

The fourth proportional to 7,771.49, 11,655.27 and 2,224.86 is: 3,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.49 : 11,655.27 = 2,224.86 : x
  2. Step 2: Convert to fraction form
    7,771.49/11,655.27 = 2,224.86/x
  3. Step 3: Cross multiply
    7,771.49x = 11,655.27 × 2,224.86
  4. Step 4: Simplify right side
    7,771.49x = 25,931,344.01
  5. Step 5: Solve for x
    x = 25,931,344.01/7,771.49
  6. Step 6: Final answer
    x = 3,336.73

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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.