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Finding the Fourth Proportional to 8,197,231.20, 12,295,846.80 and 7,961,035.20

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Solution

The fourth proportional to 8,197,231.20, 12,295,846.80 and 7,961,035.20 is: 11,941,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197,231.20 : 12,295,846.80 = 7,961,035.20 : x
  2. Step 2: Convert to fraction form
    8,197,231.20/12,295,846.80 = 7,961,035.20/x
  3. Step 3: Cross multiply
    8,197,231.20x = 12,295,846.80 × 7,961,035.20
  4. Step 4: Simplify right side
    8,197,231.20x = 97,887,669,188,607.38
  5. Step 5: Solve for x
    x = 97,887,669,188,607.38/8,197,231.20
  6. Step 6: Final answer
    x = 11,941,552.80

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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.