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Finding the Fourth Proportional to 12,262.41, 16,928.12 and 8,227.79

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Solution

The fourth proportional to 12,262.41, 16,928.12 and 8,227.79 is: 11,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.41 : 16,928.12 = 8,227.79 : x
  2. Step 2: Convert to fraction form
    12,262.41/16,928.12 = 8,227.79/x
  3. Step 3: Cross multiply
    12,262.41x = 16,928.12 × 8,227.79
  4. Step 4: Simplify right side
    12,262.41x = 139,281,022.31
  5. Step 5: Solve for x
    x = 139,281,022.31/12,262.41
  6. Step 6: Final answer
    x = 11,358.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.