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Finding the Fourth Proportional to 8,230.50, 11,358.90 and 5,087.70

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Solution

The fourth proportional to 8,230.50, 11,358.90 and 5,087.70 is: 7,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.50 : 11,358.90 = 5,087.70 : x
  2. Step 2: Convert to fraction form
    8,230.50/11,358.90 = 5,087.70/x
  3. Step 3: Cross multiply
    8,230.50x = 11,358.90 × 5,087.70
  4. Step 4: Simplify right side
    8,230.50x = 57,790,675.53
  5. Step 5: Solve for x
    x = 57,790,675.53/8,230.50
  6. Step 6: Final answer
    x = 7,021.53

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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.