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Finding the Fourth Proportional to 11,876.69, 17,814.89 and 6,977.41

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Solution

The fourth proportional to 11,876.69, 17,814.89 and 6,977.41 is: 10,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.69 : 17,814.89 = 6,977.41 : x
  2. Step 2: Convert to fraction form
    11,876.69/17,814.89 = 6,977.41/x
  3. Step 3: Cross multiply
    11,876.69x = 17,814.89 × 6,977.41
  4. Step 4: Simplify right side
    11,876.69x = 124,301,764.54
  5. Step 5: Solve for x
    x = 124,301,764.54/11,876.69
  6. Step 6: Final answer
    x = 10,466.03

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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.