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Finding the Fourth Proportional to 11,224.31, 16,838.28 and 3,828.02

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Solution

The fourth proportional to 11,224.31, 16,838.28 and 3,828.02 is: 5,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.31 : 16,838.28 = 3,828.02 : x
  2. Step 2: Convert to fraction form
    11,224.31/16,838.28 = 3,828.02/x
  3. Step 3: Cross multiply
    11,224.31x = 16,838.28 × 3,828.02
  4. Step 4: Simplify right side
    11,224.31x = 64,457,188.41
  5. Step 5: Solve for x
    x = 64,457,188.41/11,224.31
  6. Step 6: Final answer
    x = 5,742.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.