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Finding the Fourth Proportional to 11,825.70, 16,319.50 and 6,520.40

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Solution

The fourth proportional to 11,825.70, 16,319.50 and 6,520.40 is: 8,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.70 : 16,319.50 = 6,520.40 : x
  2. Step 2: Convert to fraction form
    11,825.70/16,319.50 = 6,520.40/x
  3. Step 3: Cross multiply
    11,825.70x = 16,319.50 × 6,520.40
  4. Step 4: Simplify right side
    11,825.70x = 106,409,667.80
  5. Step 5: Solve for x
    x = 106,409,667.80/11,825.70
  6. Step 6: Final answer
    x = 8,998.17

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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.