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Finding the Fourth Proportional to 8,052.24, 12,078.24 and 2,791.08

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Solution

The fourth proportional to 8,052.24, 12,078.24 and 2,791.08 is: 4,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.24 : 12,078.24 = 2,791.08 : x
  2. Step 2: Convert to fraction form
    8,052.24/12,078.24 = 2,791.08/x
  3. Step 3: Cross multiply
    8,052.24x = 12,078.24 × 2,791.08
  4. Step 4: Simplify right side
    8,052.24x = 33,711,334.10
  5. Step 5: Solve for x
    x = 33,711,334.10/8,052.24
  6. Step 6: Final answer
    x = 4,186.58

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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.