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Finding the Fourth Proportional to 11,817.86, 16,309.08 and 6,512.56

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Solution

The fourth proportional to 11,817.86, 16,309.08 and 6,512.56 is: 8,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.86 : 16,309.08 = 6,512.56 : x
  2. Step 2: Convert to fraction form
    11,817.86/16,309.08 = 6,512.56/x
  3. Step 3: Cross multiply
    11,817.86x = 16,309.08 × 6,512.56
  4. Step 4: Simplify right side
    11,817.86x = 106,213,821.27
  5. Step 5: Solve for x
    x = 106,213,821.27/11,817.86
  6. Step 6: Final answer
    x = 8,987.57

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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.