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Finding the Fourth Proportional to 11,675.70, 16,112.79 and 6,370.86

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Solution

The fourth proportional to 11,675.70, 16,112.79 and 6,370.86 is: 8,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.70 : 16,112.79 = 6,370.86 : x
  2. Step 2: Convert to fraction form
    11,675.70/16,112.79 = 6,370.86/x
  3. Step 3: Cross multiply
    11,675.70x = 16,112.79 × 6,370.86
  4. Step 4: Simplify right side
    11,675.70x = 102,652,329.30
  5. Step 5: Solve for x
    x = 102,652,329.30/11,675.70
  6. Step 6: Final answer
    x = 8,791.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.