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Finding the Fourth Proportional to 12,110.86, 16,713.32 and 6,806.16

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Solution

The fourth proportional to 12,110.86, 16,713.32 and 6,806.16 is: 9,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.86 : 16,713.32 = 6,806.16 : x
  2. Step 2: Convert to fraction form
    12,110.86/16,713.32 = 6,806.16/x
  3. Step 3: Cross multiply
    12,110.86x = 16,713.32 × 6,806.16
  4. Step 4: Simplify right side
    12,110.86x = 113,753,530.05
  5. Step 5: Solve for x
    x = 113,753,530.05/12,110.86
  6. Step 6: Final answer
    x = 9,392.69

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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.