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Finding the Fourth Proportional to 11,841.75, 17,757.45 and 6,293.76

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Solution

The fourth proportional to 11,841.75, 17,757.45 and 6,293.76 is: 9,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.75 : 17,757.45 = 6,293.76 : x
  2. Step 2: Convert to fraction form
    11,841.75/17,757.45 = 6,293.76/x
  3. Step 3: Cross multiply
    11,841.75x = 17,757.45 × 6,293.76
  4. Step 4: Simplify right side
    11,841.75x = 111,761,128.51
  5. Step 5: Solve for x
    x = 111,761,128.51/11,841.75
  6. Step 6: Final answer
    x = 9,437.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.