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Finding the Fourth Proportional to 8,223.05, 12,340.40 and 3,293.80

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Solution

The fourth proportional to 8,223.05, 12,340.40 and 3,293.80 is: 4,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.05 : 12,340.40 = 3,293.80 : x
  2. Step 2: Convert to fraction form
    8,223.05/12,340.40 = 3,293.80/x
  3. Step 3: Cross multiply
    8,223.05x = 12,340.40 × 3,293.80
  4. Step 4: Simplify right side
    8,223.05x = 40,646,762.20
  5. Step 5: Solve for x
    x = 40,646,762.20/8,223.05
  6. Step 6: Final answer
    x = 4,943.03

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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.