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Finding the Fourth Proportional to 7,960.82, 11,929.92 and 5,864.34

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Solution

The fourth proportional to 7,960.82, 11,929.92 and 5,864.34 is: 8,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.82 : 11,929.92 = 5,864.34 : x
  2. Step 2: Convert to fraction form
    7,960.82/11,929.92 = 5,864.34/x
  3. Step 3: Cross multiply
    7,960.82x = 11,929.92 × 5,864.34
  4. Step 4: Simplify right side
    7,960.82x = 69,961,077.73
  5. Step 5: Solve for x
    x = 69,961,077.73/7,960.82
  6. Step 6: Final answer
    x = 8,788.17

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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.