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Finding the Fourth Proportional to 11,713.62, 17,572.06 and 4,786.50

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Solution

The fourth proportional to 11,713.62, 17,572.06 and 4,786.50 is: 7,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.62 : 17,572.06 = 4,786.50 : x
  2. Step 2: Convert to fraction form
    11,713.62/17,572.06 = 4,786.50/x
  3. Step 3: Cross multiply
    11,713.62x = 17,572.06 × 4,786.50
  4. Step 4: Simplify right side
    11,713.62x = 84,108,665.19
  5. Step 5: Solve for x
    x = 84,108,665.19/11,713.62
  6. Step 6: Final answer
    x = 7,180.42

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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.