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Finding the Fourth Proportional to 11,383.26, 15,708.09 and 6,347.26

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Solution

The fourth proportional to 11,383.26, 15,708.09 and 6,347.26 is: 8,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.26 : 15,708.09 = 6,347.26 : x
  2. Step 2: Convert to fraction form
    11,383.26/15,708.09 = 6,347.26/x
  3. Step 3: Cross multiply
    11,383.26x = 15,708.09 × 6,347.26
  4. Step 4: Simplify right side
    11,383.26x = 99,703,331.33
  5. Step 5: Solve for x
    x = 99,703,331.33/11,383.26
  6. Step 6: Final answer
    x = 8,758.77

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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.