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Finding the Fourth Proportional to 7,882.73, 11,823.75 and 1,959.49

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Solution

The fourth proportional to 7,882.73, 11,823.75 and 1,959.49 is: 2,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.73 : 11,823.75 = 1,959.49 : x
  2. Step 2: Convert to fraction form
    7,882.73/11,823.75 = 1,959.49/x
  3. Step 3: Cross multiply
    7,882.73x = 11,823.75 × 1,959.49
  4. Step 4: Simplify right side
    7,882.73x = 23,168,512.50
  5. Step 5: Solve for x
    x = 23,168,512.50/7,882.73
  6. Step 6: Final answer
    x = 2,939.15

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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.