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Finding the Fourth Proportional to 7,218.63, 10,819.71 and 2,832.48

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Solution

The fourth proportional to 7,218.63, 10,819.71 and 2,832.48 is: 4,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.63 : 10,819.71 = 2,832.48 : x
  2. Step 2: Convert to fraction form
    7,218.63/10,819.71 = 2,832.48/x
  3. Step 3: Cross multiply
    7,218.63x = 10,819.71 × 2,832.48
  4. Step 4: Simplify right side
    7,218.63x = 30,646,612.18
  5. Step 5: Solve for x
    x = 30,646,612.18/7,218.63
  6. Step 6: Final answer
    x = 4,245.49

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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.