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Finding the Fourth Proportional to 11,675.38, 16,111.62 and 6,639.51

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Solution

The fourth proportional to 11,675.38, 16,111.62 and 6,639.51 is: 9,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.38 : 16,111.62 = 6,639.51 : x
  2. Step 2: Convert to fraction form
    11,675.38/16,111.62 = 6,639.51/x
  3. Step 3: Cross multiply
    11,675.38x = 16,111.62 × 6,639.51
  4. Step 4: Simplify right side
    11,675.38x = 106,973,201.69
  5. Step 5: Solve for x
    x = 106,973,201.69/11,675.38
  6. Step 6: Final answer
    x = 9,162.29

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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.