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Finding the Fourth Proportional to 11,825.57, 16,320.02 and 6,520.88

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Solution

The fourth proportional to 11,825.57, 16,320.02 and 6,520.88 is: 8,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.57 : 16,320.02 = 6,520.88 : x
  2. Step 2: Convert to fraction form
    11,825.57/16,320.02 = 6,520.88/x
  3. Step 3: Cross multiply
    11,825.57x = 16,320.02 × 6,520.88
  4. Step 4: Simplify right side
    11,825.57x = 106,420,892.02
  5. Step 5: Solve for x
    x = 106,420,892.02/11,825.57
  6. Step 6: Final answer
    x = 8,999.22

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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.