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Finding the Fourth Proportional to 8,267.97, 11,409.76 and 4,491.11

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Solution

The fourth proportional to 8,267.97, 11,409.76 and 4,491.11 is: 6,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.97 : 11,409.76 = 4,491.11 : x
  2. Step 2: Convert to fraction form
    8,267.97/11,409.76 = 4,491.11/x
  3. Step 3: Cross multiply
    8,267.97x = 11,409.76 × 4,491.11
  4. Step 4: Simplify right side
    8,267.97x = 51,242,487.23
  5. Step 5: Solve for x
    x = 51,242,487.23/8,267.97
  6. Step 6: Final answer
    x = 6,197.71

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