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Finding the Fourth Proportional to 10,858.33, 16,290.24 and 3,067.14

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Solution

The fourth proportional to 10,858.33, 16,290.24 and 3,067.14 is: 4,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.33 : 16,290.24 = 3,067.14 : x
  2. Step 2: Convert to fraction form
    10,858.33/16,290.24 = 3,067.14/x
  3. Step 3: Cross multiply
    10,858.33x = 16,290.24 × 3,067.14
  4. Step 4: Simplify right side
    10,858.33x = 49,964,446.71
  5. Step 5: Solve for x
    x = 49,964,446.71/10,858.33
  6. Step 6: Final answer
    x = 4,601.49

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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.