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Finding the Fourth Proportional to 11,665.10, 16,103.25 and 6,883.47

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Solution

The fourth proportional to 11,665.10, 16,103.25 and 6,883.47 is: 9,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.10 : 16,103.25 = 6,883.47 : x
  2. Step 2: Convert to fraction form
    11,665.10/16,103.25 = 6,883.47/x
  3. Step 3: Cross multiply
    11,665.10x = 16,103.25 × 6,883.47
  4. Step 4: Simplify right side
    11,665.10x = 110,846,238.28
  5. Step 5: Solve for x
    x = 110,846,238.28/11,665.10
  6. Step 6: Final answer
    x = 9,502.39

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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.