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Finding the Fourth Proportional to 8,191.45, 11,306.55 and 4,834.81

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Solution

The fourth proportional to 8,191.45, 11,306.55 and 4,834.81 is: 6,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.45 : 11,306.55 = 4,834.81 : x
  2. Step 2: Convert to fraction form
    8,191.45/11,306.55 = 4,834.81/x
  3. Step 3: Cross multiply
    8,191.45x = 11,306.55 × 4,834.81
  4. Step 4: Simplify right side
    8,191.45x = 54,665,021.01
  5. Step 5: Solve for x
    x = 54,665,021.01/8,191.45
  6. Step 6: Final answer
    x = 6,673.42

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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.