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Finding the Fourth Proportional to 7,757.88, 11,628.50 and 3,853.88

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Solution

The fourth proportional to 7,757.88, 11,628.50 and 3,853.88 is: 5,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.88 : 11,628.50 = 3,853.88 : x
  2. Step 2: Convert to fraction form
    7,757.88/11,628.50 = 3,853.88/x
  3. Step 3: Cross multiply
    7,757.88x = 11,628.50 × 3,853.88
  4. Step 4: Simplify right side
    7,757.88x = 44,814,843.58
  5. Step 5: Solve for x
    x = 44,814,843.58/7,757.88
  6. Step 6: Final answer
    x = 5,776.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.