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Finding the Fourth Proportional to 7,959.54, 11,939.56 and 2,116.14

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Solution

The fourth proportional to 7,959.54, 11,939.56 and 2,116.14 is: 3,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.54 : 11,939.56 = 2,116.14 : x
  2. Step 2: Convert to fraction form
    7,959.54/11,939.56 = 2,116.14/x
  3. Step 3: Cross multiply
    7,959.54x = 11,939.56 × 2,116.14
  4. Step 4: Simplify right side
    7,959.54x = 25,265,780.50
  5. Step 5: Solve for x
    x = 25,265,780.50/7,959.54
  6. Step 6: Final answer
    x = 3,174.28

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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.