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Finding the Fourth Proportional to 8,213.60, 12,320.40 and 8,127.20

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Solution

The fourth proportional to 8,213.60, 12,320.40 and 8,127.20 is: 12,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.60 : 12,320.40 = 8,127.20 : x
  2. Step 2: Convert to fraction form
    8,213.60/12,320.40 = 8,127.20/x
  3. Step 3: Cross multiply
    8,213.60x = 12,320.40 × 8,127.20
  4. Step 4: Simplify right side
    8,213.60x = 100,130,354.88
  5. Step 5: Solve for x
    x = 100,130,354.88/8,213.60
  6. Step 6: Final answer
    x = 12,190.80

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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.