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Finding the Fourth Proportional to 11,283, 16,924.24 and 3,892.56

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Solution

The fourth proportional to 11,283, 16,924.24 and 3,892.56 is: 5,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283 : 16,924.24 = 3,892.56 : x
  2. Step 2: Convert to fraction form
    11,283/16,924.24 = 3,892.56/x
  3. Step 3: Cross multiply
    11,283x = 16,924.24 × 3,892.56
  4. Step 4: Simplify right side
    11,283x = 65,878,619.65
  5. Step 5: Solve for x
    x = 65,878,619.65/11,283
  6. Step 6: Final answer
    x = 5,838.75

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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.