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Finding the Fourth Proportional to 8,067.06, 12,109.07 and 7,148.50

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Solution

The fourth proportional to 8,067.06, 12,109.07 and 7,148.50 is: 10,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.06 : 12,109.07 = 7,148.50 : x
  2. Step 2: Convert to fraction form
    8,067.06/12,109.07 = 7,148.50/x
  3. Step 3: Cross multiply
    8,067.06x = 12,109.07 × 7,148.50
  4. Step 4: Simplify right side
    8,067.06x = 86,561,686.90
  5. Step 5: Solve for x
    x = 86,561,686.90/8,067.06
  6. Step 6: Final answer
    x = 10,730.26

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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.