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Finding the Fourth Proportional to 7,227.52, 10,842.48 and 2,842.64

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Solution

The fourth proportional to 7,227.52, 10,842.48 and 2,842.64 is: 4,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.52 : 10,842.48 = 2,842.64 : x
  2. Step 2: Convert to fraction form
    7,227.52/10,842.48 = 2,842.64/x
  3. Step 3: Cross multiply
    7,227.52x = 10,842.48 × 2,842.64
  4. Step 4: Simplify right side
    7,227.52x = 30,821,267.35
  5. Step 5: Solve for x
    x = 30,821,267.35/7,227.52
  6. Step 6: Final answer
    x = 4,264.43

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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.