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Finding the Fourth Proportional to 8,239.36, 12,359.12 and 6,593.76

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Solution

The fourth proportional to 8,239.36, 12,359.12 and 6,593.76 is: 9,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.36 : 12,359.12 = 6,593.76 : x
  2. Step 2: Convert to fraction form
    8,239.36/12,359.12 = 6,593.76/x
  3. Step 3: Cross multiply
    8,239.36x = 12,359.12 × 6,593.76
  4. Step 4: Simplify right side
    8,239.36x = 81,493,071.09
  5. Step 5: Solve for x
    x = 81,493,071.09/8,239.36
  6. Step 6: Final answer
    x = 9,890.70

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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.