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Finding the Fourth Proportional to 7,227.78, 10,842.06 and 2,034.06

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Solution

The fourth proportional to 7,227.78, 10,842.06 and 2,034.06 is: 3,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.78 : 10,842.06 = 2,034.06 : x
  2. Step 2: Convert to fraction form
    7,227.78/10,842.06 = 2,034.06/x
  3. Step 3: Cross multiply
    7,227.78x = 10,842.06 × 2,034.06
  4. Step 4: Simplify right side
    7,227.78x = 22,053,400.56
  5. Step 5: Solve for x
    x = 22,053,400.56/7,227.78
  6. Step 6: Final answer
    x = 3,051.20

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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.