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Finding the Fourth Proportional to 8,476.39, 11,696 and 5,647.99

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Solution

The fourth proportional to 8,476.39, 11,696 and 5,647.99 is: 7,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.39 : 11,696 = 5,647.99 : x
  2. Step 2: Convert to fraction form
    8,476.39/11,696 = 5,647.99/x
  3. Step 3: Cross multiply
    8,476.39x = 11,696 × 5,647.99
  4. Step 4: Simplify right side
    8,476.39x = 66,058,891.04
  5. Step 5: Solve for x
    x = 66,058,891.04/8,476.39
  6. Step 6: Final answer
    x = 7,793.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.