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Finding the Fourth Proportional to 7,771.89, 10,725.11 and 4,414.68

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Solution

The fourth proportional to 7,771.89, 10,725.11 and 4,414.68 is: 6,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.89 : 10,725.11 = 4,414.68 : x
  2. Step 2: Convert to fraction form
    7,771.89/10,725.11 = 4,414.68/x
  3. Step 3: Cross multiply
    7,771.89x = 10,725.11 × 4,414.68
  4. Step 4: Simplify right side
    7,771.89x = 47,347,923.10
  5. Step 5: Solve for x
    x = 47,347,923.10/7,771.89
  6. Step 6: Final answer
    x = 6,092.20

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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.