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Finding the Fourth Proportional to 11,201.27, 15,457.63 and 6,165.38

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Solution

The fourth proportional to 11,201.27, 15,457.63 and 6,165.38 is: 8,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.27 : 15,457.63 = 6,165.38 : x
  2. Step 2: Convert to fraction form
    11,201.27/15,457.63 = 6,165.38/x
  3. Step 3: Cross multiply
    11,201.27x = 15,457.63 × 6,165.38
  4. Step 4: Simplify right side
    11,201.27x = 95,302,147.44
  5. Step 5: Solve for x
    x = 95,302,147.44/11,201.27
  6. Step 6: Final answer
    x = 8,508.16

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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.