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Finding the Fourth Proportional to 11,744, 16,188 and 10,802.24

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Solution

The fourth proportional to 11,744, 16,188 and 10,802.24 is: 14,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744 : 16,188 = 10,802.24 : x
  2. Step 2: Convert to fraction form
    11,744/16,188 = 10,802.24/x
  3. Step 3: Cross multiply
    11,744x = 16,188 × 10,802.24
  4. Step 4: Simplify right side
    11,744x = 174,866,661.12
  5. Step 5: Solve for x
    x = 174,866,661.12/11,744
  6. Step 6: Final answer
    x = 14,889.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.