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Finding the Fourth Proportional to 8,830.69, 13,293.74 and 8,067.97

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Solution

The fourth proportional to 8,830.69, 13,293.74 and 8,067.97 is: 12,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.69 : 13,293.74 = 8,067.97 : x
  2. Step 2: Convert to fraction form
    8,830.69/13,293.74 = 8,067.97/x
  3. Step 3: Cross multiply
    8,830.69x = 13,293.74 × 8,067.97
  4. Step 4: Simplify right side
    8,830.69x = 107,253,495.51
  5. Step 5: Solve for x
    x = 107,253,495.51/8,830.69
  6. Step 6: Final answer
    x = 12,145.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.