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Finding the Fourth Proportional to 11,282.87, 16,924.09 and 3,887.17

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Solution

The fourth proportional to 11,282.87, 16,924.09 and 3,887.17 is: 5,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.87 : 16,924.09 = 3,887.17 : x
  2. Step 2: Convert to fraction form
    11,282.87/16,924.09 = 3,887.17/x
  3. Step 3: Cross multiply
    11,282.87x = 16,924.09 × 3,887.17
  4. Step 4: Simplify right side
    11,282.87x = 65,786,770.19
  5. Step 5: Solve for x
    x = 65,786,770.19/11,282.87
  6. Step 6: Final answer
    x = 5,830.68

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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.