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Finding the Fourth Proportional to 8,381.39, 11,646.52 and 8,290.26

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Solution

The fourth proportional to 8,381.39, 11,646.52 and 8,290.26 is: 11,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.39 : 11,646.52 = 8,290.26 : x
  2. Step 2: Convert to fraction form
    8,381.39/11,646.52 = 8,290.26/x
  3. Step 3: Cross multiply
    8,381.39x = 11,646.52 × 8,290.26
  4. Step 4: Simplify right side
    8,381.39x = 96,552,637.44
  5. Step 5: Solve for x
    x = 96,552,637.44/8,381.39
  6. Step 6: Final answer
    x = 11,519.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.