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Finding the Fourth Proportional to 11,859.92, 17,789.99 and 4,838.05

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Solution

The fourth proportional to 11,859.92, 17,789.99 and 4,838.05 is: 7,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.92 : 17,789.99 = 4,838.05 : x
  2. Step 2: Convert to fraction form
    11,859.92/17,789.99 = 4,838.05/x
  3. Step 3: Cross multiply
    11,859.92x = 17,789.99 × 4,838.05
  4. Step 4: Simplify right side
    11,859.92x = 86,068,943.22
  5. Step 5: Solve for x
    x = 86,068,943.22/11,859.92
  6. Step 6: Final answer
    x = 7,257.13

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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.