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Finding the Fourth Proportional to 8,267.81, 11,409.70 and 4,491.05

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Solution

The fourth proportional to 8,267.81, 11,409.70 and 4,491.05 is: 6,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.81 : 11,409.70 = 4,491.05 : x
  2. Step 2: Convert to fraction form
    8,267.81/11,409.70 = 4,491.05/x
  3. Step 3: Cross multiply
    8,267.81x = 11,409.70 × 4,491.05
  4. Step 4: Simplify right side
    8,267.81x = 51,241,464.91
  5. Step 5: Solve for x
    x = 51,241,464.91/8,267.81
  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.