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Finding the Fourth Proportional to 11,763.92, 17,663.39 and 4,757.61

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Solution

The fourth proportional to 11,763.92, 17,663.39 and 4,757.61 is: 7,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.92 : 17,663.39 = 4,757.61 : x
  2. Step 2: Convert to fraction form
    11,763.92/17,663.39 = 4,757.61/x
  3. Step 3: Cross multiply
    11,763.92x = 17,663.39 × 4,757.61
  4. Step 4: Simplify right side
    11,763.92x = 84,035,497.11
  5. Step 5: Solve for x
    x = 84,035,497.11/11,763.92
  6. Step 6: Final answer
    x = 7,143.50

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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.