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Finding the Fourth Proportional to 7,424.36, 10,245.47 and 4,067.01

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Solution

The fourth proportional to 7,424.36, 10,245.47 and 4,067.01 is: 5,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.36 : 10,245.47 = 4,067.01 : x
  2. Step 2: Convert to fraction form
    7,424.36/10,245.47 = 4,067.01/x
  3. Step 3: Cross multiply
    7,424.36x = 10,245.47 × 4,067.01
  4. Step 4: Simplify right side
    7,424.36x = 41,668,408.61
  5. Step 5: Solve for x
    x = 41,668,408.61/7,424.36
  6. Step 6: Final answer
    x = 5,612.39

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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.