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Finding the Fourth Proportional to 7,786.83, 11,691.99 and 4,883.79

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Solution

The fourth proportional to 7,786.83, 11,691.99 and 4,883.79 is: 7,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.83 : 11,691.99 = 4,883.79 : x
  2. Step 2: Convert to fraction form
    7,786.83/11,691.99 = 4,883.79/x
  3. Step 3: Cross multiply
    7,786.83x = 11,691.99 × 4,883.79
  4. Step 4: Simplify right side
    7,786.83x = 57,101,223.84
  5. Step 5: Solve for x
    x = 57,101,223.84/7,786.83
  6. Step 6: Final answer
    x = 7,333.05

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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.