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Finding the Fourth Proportional to 8,722.82, 13,084.23 and 2,149.12

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Solution

The fourth proportional to 8,722.82, 13,084.23 and 2,149.12 is: 3,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.82 : 13,084.23 = 2,149.12 : x
  2. Step 2: Convert to fraction form
    8,722.82/13,084.23 = 2,149.12/x
  3. Step 3: Cross multiply
    8,722.82x = 13,084.23 × 2,149.12
  4. Step 4: Simplify right side
    8,722.82x = 28,119,580.38
  5. Step 5: Solve for x
    x = 28,119,580.38/8,722.82
  6. Step 6: Final answer
    x = 3,223.68

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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.