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Finding the Fourth Proportional to 8,233.60, 12,359.04 and 7,818.88

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Solution

The fourth proportional to 8,233.60, 12,359.04 and 7,818.88 is: 11,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.60 : 12,359.04 = 7,818.88 : x
  2. Step 2: Convert to fraction form
    8,233.60/12,359.04 = 7,818.88/x
  3. Step 3: Cross multiply
    8,233.60x = 12,359.04 × 7,818.88
  4. Step 4: Simplify right side
    8,233.60x = 96,633,850.68
  5. Step 5: Solve for x
    x = 96,633,850.68/8,233.60
  6. Step 6: Final answer
    x = 11,736.52

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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.