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Finding the Fourth Proportional to 12,112.15, 16,715.19 and 6,806.86

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Solution

The fourth proportional to 12,112.15, 16,715.19 and 6,806.86 is: 9,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.15 : 16,715.19 = 6,806.86 : x
  2. Step 2: Convert to fraction form
    12,112.15/16,715.19 = 6,806.86/x
  3. Step 3: Cross multiply
    12,112.15x = 16,715.19 × 6,806.86
  4. Step 4: Simplify right side
    12,112.15x = 113,777,958.20
  5. Step 5: Solve for x
    x = 113,777,958.20/12,112.15
  6. Step 6: Final answer
    x = 9,393.70

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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.