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Finding the Fourth Proportional to 11,918.76, 17,878.29 and 4,125.75

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Solution

The fourth proportional to 11,918.76, 17,878.29 and 4,125.75 is: 6,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.76 : 17,878.29 = 4,125.75 : x
  2. Step 2: Convert to fraction form
    11,918.76/17,878.29 = 4,125.75/x
  3. Step 3: Cross multiply
    11,918.76x = 17,878.29 × 4,125.75
  4. Step 4: Simplify right side
    11,918.76x = 73,761,354.97
  5. Step 5: Solve for x
    x = 73,761,354.97/11,918.76
  6. Step 6: Final answer
    x = 6,188.68

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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.