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Finding the Fourth Proportional to 11,148.54, 16,723.44 and 4,911.48

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Solution

The fourth proportional to 11,148.54, 16,723.44 and 4,911.48 is: 7,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.54 : 16,723.44 = 4,911.48 : x
  2. Step 2: Convert to fraction form
    11,148.54/16,723.44 = 4,911.48/x
  3. Step 3: Cross multiply
    11,148.54x = 16,723.44 × 4,911.48
  4. Step 4: Simplify right side
    11,148.54x = 82,136,841.09
  5. Step 5: Solve for x
    x = 82,136,841.09/11,148.54
  6. Step 6: Final answer
    x = 7,367.50

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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.