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Finding the Fourth Proportional to 8,233.80, 12,326.40 and 5,463.60

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Solution

The fourth proportional to 8,233.80, 12,326.40 and 5,463.60 is: 8,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.80 : 12,326.40 = 5,463.60 : x
  2. Step 2: Convert to fraction form
    8,233.80/12,326.40 = 5,463.60/x
  3. Step 3: Cross multiply
    8,233.80x = 12,326.40 × 5,463.60
  4. Step 4: Simplify right side
    8,233.80x = 67,346,519.04
  5. Step 5: Solve for x
    x = 67,346,519.04/8,233.80
  6. Step 6: Final answer
    x = 8,179.28

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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.