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Finding the Fourth Proportional to 8,140.40, 12,202.20 and 4,434.80

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Solution

The fourth proportional to 8,140.40, 12,202.20 and 4,434.80 is: 6,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.40 : 12,202.20 = 4,434.80 : x
  2. Step 2: Convert to fraction form
    8,140.40/12,202.20 = 4,434.80/x
  3. Step 3: Cross multiply
    8,140.40x = 12,202.20 × 4,434.80
  4. Step 4: Simplify right side
    8,140.40x = 54,114,316.56
  5. Step 5: Solve for x
    x = 54,114,316.56/8,140.40
  6. Step 6: Final answer
    x = 6,647.62

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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.