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Finding the Fourth Proportional to 8,242.80, 12,363.90 and 3,311.10

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Solution

The fourth proportional to 8,242.80, 12,363.90 and 3,311.10 is: 4,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.80 : 12,363.90 = 3,311.10 : x
  2. Step 2: Convert to fraction form
    8,242.80/12,363.90 = 3,311.10/x
  3. Step 3: Cross multiply
    8,242.80x = 12,363.90 × 3,311.10
  4. Step 4: Simplify right side
    8,242.80x = 40,938,109.29
  5. Step 5: Solve for x
    x = 40,938,109.29/8,242.80
  6. Step 6: Final answer
    x = 4,966.53

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Why These Related Problems?

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