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Finding the Fourth Proportional to 8,234.84, 11,359.44 and 5,209.02

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Solution

The fourth proportional to 8,234.84, 11,359.44 and 5,209.02 is: 7,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.84 : 11,359.44 = 5,209.02 : x
  2. Step 2: Convert to fraction form
    8,234.84/11,359.44 = 5,209.02/x
  3. Step 3: Cross multiply
    8,234.84x = 11,359.44 × 5,209.02
  4. Step 4: Simplify right side
    8,234.84x = 59,171,550.15
  5. Step 5: Solve for x
    x = 59,171,550.15/8,234.84
  6. Step 6: Final answer
    x = 7,185.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.