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Finding the Fourth Proportional to 11,806.23, 16,293.06 and 6,500.97

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Solution

The fourth proportional to 11,806.23, 16,293.06 and 6,500.97 is: 8,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.23 : 16,293.06 = 6,500.97 : x
  2. Step 2: Convert to fraction form
    11,806.23/16,293.06 = 6,500.97/x
  3. Step 3: Cross multiply
    11,806.23x = 16,293.06 × 6,500.97
  4. Step 4: Simplify right side
    11,806.23x = 105,920,694.27
  5. Step 5: Solve for x
    x = 105,920,694.27/11,806.23
  6. Step 6: Final answer
    x = 8,971.59

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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.