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Finding the Fourth Proportional to 11,212.31, 16,820.28 and 3,816

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Solution

The fourth proportional to 11,212.31, 16,820.28 and 3,816 is: 5,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.31 : 16,820.28 = 3,816 : x
  2. Step 2: Convert to fraction form
    11,212.31/16,820.28 = 3,816/x
  3. Step 3: Cross multiply
    11,212.31x = 16,820.28 × 3,816
  4. Step 4: Simplify right side
    11,212.31x = 64,186,188.48
  5. Step 5: Solve for x
    x = 64,186,188.48/11,212.31
  6. Step 6: Final answer
    x = 5,724.62

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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.