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Finding the Fourth Proportional to 11,806.56, 17,717.13 and 6,885.81

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Solution

The fourth proportional to 11,806.56, 17,717.13 and 6,885.81 is: 10,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.56 : 17,717.13 = 6,885.81 : x
  2. Step 2: Convert to fraction form
    11,806.56/17,717.13 = 6,885.81/x
  3. Step 3: Cross multiply
    11,806.56x = 17,717.13 × 6,885.81
  4. Step 4: Simplify right side
    11,806.56x = 121,996,790.93
  5. Step 5: Solve for x
    x = 121,996,790.93/11,806.56
  6. Step 6: Final answer
    x = 10,332.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.