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Finding the Fourth Proportional to 11,825.99, 16,319.67 and 6,520.70

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Solution

The fourth proportional to 11,825.99, 16,319.67 and 6,520.70 is: 8,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.99 : 16,319.67 = 6,520.70 : x
  2. Step 2: Convert to fraction form
    11,825.99/16,319.67 = 6,520.70/x
  3. Step 3: Cross multiply
    11,825.99x = 16,319.67 × 6,520.70
  4. Step 4: Simplify right side
    11,825.99x = 106,415,672.17
  5. Step 5: Solve for x
    x = 106,415,672.17/11,825.99
  6. Step 6: Final answer
    x = 8,998.46

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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.