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Finding the Fourth Proportional to 7,757.82, 10,703.97 and 4,399.88

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Solution

The fourth proportional to 7,757.82, 10,703.97 and 4,399.88 is: 6,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.82 : 10,703.97 = 4,399.88 : x
  2. Step 2: Convert to fraction form
    7,757.82/10,703.97 = 4,399.88/x
  3. Step 3: Cross multiply
    7,757.82x = 10,703.97 × 4,399.88
  4. Step 4: Simplify right side
    7,757.82x = 47,096,130.00
  5. Step 5: Solve for x
    x = 47,096,130.00/7,757.82
  6. Step 6: Final answer
    x = 6,070.79

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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.