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Finding the Fourth Proportional to 11,148.45, 16,722.78 and 2,828.24

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Solution

The fourth proportional to 11,148.45, 16,722.78 and 2,828.24 is: 4,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.45 : 16,722.78 = 2,828.24 : x
  2. Step 2: Convert to fraction form
    11,148.45/16,722.78 = 2,828.24/x
  3. Step 3: Cross multiply
    11,148.45x = 16,722.78 × 2,828.24
  4. Step 4: Simplify right side
    11,148.45x = 47,296,035.31
  5. Step 5: Solve for x
    x = 47,296,035.31/11,148.45
  6. Step 6: Final answer
    x = 4,242.39

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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.