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Finding the Fourth Proportional to 7,536.20, 10,400.10 and 4,179.20

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Solution

The fourth proportional to 7,536.20, 10,400.10 and 4,179.20 is: 5,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.20 : 10,400.10 = 4,179.20 : x
  2. Step 2: Convert to fraction form
    7,536.20/10,400.10 = 4,179.20/x
  3. Step 3: Cross multiply
    7,536.20x = 10,400.10 × 4,179.20
  4. Step 4: Simplify right side
    7,536.20x = 43,464,097.92
  5. Step 5: Solve for x
    x = 43,464,097.92/7,536.20
  6. Step 6: Final answer
    x = 5,767.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.