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Finding the Fourth Proportional to 11,895.87, 17,842.38 and 3,131.47

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Solution

The fourth proportional to 11,895.87, 17,842.38 and 3,131.47 is: 4,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.87 : 17,842.38 = 3,131.47 : x
  2. Step 2: Convert to fraction form
    11,895.87/17,842.38 = 3,131.47/x
  3. Step 3: Cross multiply
    11,895.87x = 17,842.38 × 3,131.47
  4. Step 4: Simplify right side
    11,895.87x = 55,872,864.50
  5. Step 5: Solve for x
    x = 55,872,864.50/11,895.87
  6. Step 6: Final answer
    x = 4,696.83

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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.