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Finding the Fourth Proportional to 11,675.74, 16,112.92 and 6,370.84

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Solution

The fourth proportional to 11,675.74, 16,112.92 and 6,370.84 is: 8,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.74 : 16,112.92 = 6,370.84 : x
  2. Step 2: Convert to fraction form
    11,675.74/16,112.92 = 6,370.84/x
  3. Step 3: Cross multiply
    11,675.74x = 16,112.92 × 6,370.84
  4. Step 4: Simplify right side
    11,675.74x = 102,652,835.25
  5. Step 5: Solve for x
    x = 102,652,835.25/11,675.74
  6. Step 6: Final answer
    x = 8,791.98

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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.