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Finding the Fourth Proportional to 8,232.88, 12,349.26 and 6,997.36

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Solution

The fourth proportional to 8,232.88, 12,349.26 and 6,997.36 is: 10,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.88 : 12,349.26 = 6,997.36 : x
  2. Step 2: Convert to fraction form
    8,232.88/12,349.26 = 6,997.36/x
  3. Step 3: Cross multiply
    8,232.88x = 12,349.26 × 6,997.36
  4. Step 4: Simplify right side
    8,232.88x = 86,412,217.95
  5. Step 5: Solve for x
    x = 86,412,217.95/8,232.88
  6. Step 6: Final answer
    x = 10,495.99

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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.