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Finding the Fourth Proportional to 7,771.59, 10,723.86 and 4,414.37

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Solution

The fourth proportional to 7,771.59, 10,723.86 and 4,414.37 is: 6,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.59 : 10,723.86 = 4,414.37 : x
  2. Step 2: Convert to fraction form
    7,771.59/10,723.86 = 4,414.37/x
  3. Step 3: Cross multiply
    7,771.59x = 10,723.86 × 4,414.37
  4. Step 4: Simplify right side
    7,771.59x = 47,339,032.25
  5. Step 5: Solve for x
    x = 47,339,032.25/7,771.59
  6. Step 6: Final answer
    x = 6,091.29

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Why These Related Problems?

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