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Finding the Fourth Proportional to 8,242.14, 12,363.80 and 3,311.79

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Solution

The fourth proportional to 8,242.14, 12,363.80 and 3,311.79 is: 4,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.14 : 12,363.80 = 3,311.79 : x
  2. Step 2: Convert to fraction form
    8,242.14/12,363.80 = 3,311.79/x
  3. Step 3: Cross multiply
    8,242.14x = 12,363.80 × 3,311.79
  4. Step 4: Simplify right side
    8,242.14x = 40,946,246.28
  5. Step 5: Solve for x
    x = 40,946,246.28/8,242.14
  6. Step 6: Final answer
    x = 4,967.91

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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.