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Finding the Fourth Proportional to 8,191.94, 12,277.61 and 3,506.43

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Solution

The fourth proportional to 8,191.94, 12,277.61 and 3,506.43 is: 5,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.94 : 12,277.61 = 3,506.43 : x
  2. Step 2: Convert to fraction form
    8,191.94/12,277.61 = 3,506.43/x
  3. Step 3: Cross multiply
    8,191.94x = 12,277.61 × 3,506.43
  4. Step 4: Simplify right side
    8,191.94x = 43,050,562.50
  5. Step 5: Solve for x
    x = 43,050,562.50/8,191.94
  6. Step 6: Final answer
    x = 5,255.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.