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Finding the Fourth Proportional to 11,806.38, 16,293.83 and 6,502.22

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Solution

The fourth proportional to 11,806.38, 16,293.83 and 6,502.22 is: 8,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.38 : 16,293.83 = 6,502.22 : x
  2. Step 2: Convert to fraction form
    11,806.38/16,293.83 = 6,502.22/x
  3. Step 3: Cross multiply
    11,806.38x = 16,293.83 × 6,502.22
  4. Step 4: Simplify right side
    11,806.38x = 105,946,160.94
  5. Step 5: Solve for x
    x = 105,946,160.94/11,806.38
  6. Step 6: Final answer
    x = 8,973.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.