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Finding the Fourth Proportional to 11,879.00, 17,824.58 and 4,864.20

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Solution

The fourth proportional to 11,879.00, 17,824.58 and 4,864.20 is: 7,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.00 : 17,824.58 = 4,864.20 : x
  2. Step 2: Convert to fraction form
    11,879.00/17,824.58 = 4,864.20/x
  3. Step 3: Cross multiply
    11,879.00x = 17,824.58 × 4,864.20
  4. Step 4: Simplify right side
    11,879.00x = 86,702,297.72
  5. Step 5: Solve for x
    x = 86,702,297.72/11,879.00
  6. Step 6: Final answer
    x = 7,298.79

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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.