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Finding the Fourth Proportional to 8,221.30, 11,344.15 and 5,239.69

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Solution

The fourth proportional to 8,221.30, 11,344.15 and 5,239.69 is: 7,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.30 : 11,344.15 = 5,239.69 : x
  2. Step 2: Convert to fraction form
    8,221.30/11,344.15 = 5,239.69/x
  3. Step 3: Cross multiply
    8,221.30x = 11,344.15 × 5,239.69
  4. Step 4: Simplify right side
    8,221.30x = 59,439,807.50
  5. Step 5: Solve for x
    x = 59,439,807.50/8,221.30
  6. Step 6: Final answer
    x = 7,229.98

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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.