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Finding the Fourth Proportional to 8,230.65, 11,354.67 and 5,245.80

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Solution

The fourth proportional to 8,230.65, 11,354.67 and 5,245.80 is: 7,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.65 : 11,354.67 = 5,245.80 : x
  2. Step 2: Convert to fraction form
    8,230.65/11,354.67 = 5,245.80/x
  3. Step 3: Cross multiply
    8,230.65x = 11,354.67 × 5,245.80
  4. Step 4: Simplify right side
    8,230.65x = 59,564,327.89
  5. Step 5: Solve for x
    x = 59,564,327.89/8,230.65
  6. Step 6: Final answer
    x = 7,236.89

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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.