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Finding the Fourth Proportional to 11,171.69, 16,761.42 and 7,006.76

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Solution

The fourth proportional to 11,171.69, 16,761.42 and 7,006.76 is: 10,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.69 : 16,761.42 = 7,006.76 : x
  2. Step 2: Convert to fraction form
    11,171.69/16,761.42 = 7,006.76/x
  3. Step 3: Cross multiply
    11,171.69x = 16,761.42 × 7,006.76
  4. Step 4: Simplify right side
    11,171.69x = 117,443,289.10
  5. Step 5: Solve for x
    x = 117,443,289.10/11,171.69
  6. Step 6: Final answer
    x = 10,512.59

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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.