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Finding the Fourth Proportional to 8,213.60, 12,320.40 and 4,930.40

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Solution

The fourth proportional to 8,213.60, 12,320.40 and 4,930.40 is: 7,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.60 : 12,320.40 = 4,930.40 : x
  2. Step 2: Convert to fraction form
    8,213.60/12,320.40 = 4,930.40/x
  3. Step 3: Cross multiply
    8,213.60x = 12,320.40 × 4,930.40
  4. Step 4: Simplify right side
    8,213.60x = 60,744,500.16
  5. Step 5: Solve for x
    x = 60,744,500.16/8,213.60
  6. Step 6: Final answer
    x = 7,395.60

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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.