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Finding the Fourth Proportional to 11,891.96, 17,833.16 and 7,725.73

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Solution

The fourth proportional to 11,891.96, 17,833.16 and 7,725.73 is: 11,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.96 : 17,833.16 = 7,725.73 : x
  2. Step 2: Convert to fraction form
    11,891.96/17,833.16 = 7,725.73/x
  3. Step 3: Cross multiply
    11,891.96x = 17,833.16 × 7,725.73
  4. Step 4: Simplify right side
    11,891.96x = 137,774,187.38
  5. Step 5: Solve for x
    x = 137,774,187.38/11,891.96
  6. Step 6: Final answer
    x = 11,585.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.