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Finding the Fourth Proportional to 8,197,829.80, 12,296,744.70 and 5,753,201.20

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Solution

The fourth proportional to 8,197,829.80, 12,296,744.70 and 5,753,201.20 is: 8,629,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197,829.80 : 12,296,744.70 = 5,753,201.20 : x
  2. Step 2: Convert to fraction form
    8,197,829.80/12,296,744.70 = 5,753,201.20/x
  3. Step 3: Cross multiply
    8,197,829.80x = 12,296,744.70 × 5,753,201.20
  4. Step 4: Simplify right side
    8,197,829.80x = 70,745,646,364,133.64
  5. Step 5: Solve for x
    x = 70,745,646,364,133.64/8,197,829.80
  6. Step 6: Final answer
    x = 8,629,801.80

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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.