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Finding the Fourth Proportional to 11,262.24, 16,894.44 and 5,022

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Solution

The fourth proportional to 11,262.24, 16,894.44 and 5,022 is: 7,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.24 : 16,894.44 = 5,022 : x
  2. Step 2: Convert to fraction form
    11,262.24/16,894.44 = 5,022/x
  3. Step 3: Cross multiply
    11,262.24x = 16,894.44 × 5,022
  4. Step 4: Simplify right side
    11,262.24x = 84,843,877.68
  5. Step 5: Solve for x
    x = 84,843,877.68/11,262.24
  6. Step 6: Final answer
    x = 7,533.48

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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.