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Finding the Fourth Proportional to 8,239.40, 12,359.16 and 6,593.84

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Solution

The fourth proportional to 8,239.40, 12,359.16 and 6,593.84 is: 9,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.40 : 12,359.16 = 6,593.84 : x
  2. Step 2: Convert to fraction form
    8,239.40/12,359.16 = 6,593.84/x
  3. Step 3: Cross multiply
    8,239.40x = 12,359.16 × 6,593.84
  4. Step 4: Simplify right side
    8,239.40x = 81,494,323.57
  5. Step 5: Solve for x
    x = 81,494,323.57/8,239.40
  6. Step 6: Final answer
    x = 9,890.81

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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.