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Finding the Fourth Proportional to 11,636.33, 17,432.48 and 6,878.26

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Solution

The fourth proportional to 11,636.33, 17,432.48 and 6,878.26 is: 10,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.33 : 17,432.48 = 6,878.26 : x
  2. Step 2: Convert to fraction form
    11,636.33/17,432.48 = 6,878.26/x
  3. Step 3: Cross multiply
    11,636.33x = 17,432.48 × 6,878.26
  4. Step 4: Simplify right side
    11,636.33x = 119,905,103.50
  5. Step 5: Solve for x
    x = 119,905,103.50/11,636.33
  6. Step 6: Final answer
    x = 10,304.37

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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.