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Finding the Fourth Proportional to 11,822.50, 17,731.05 and 4,427.74

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Solution

The fourth proportional to 11,822.50, 17,731.05 and 4,427.74 is: 6,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.50 : 17,731.05 = 4,427.74 : x
  2. Step 2: Convert to fraction form
    11,822.50/17,731.05 = 4,427.74/x
  3. Step 3: Cross multiply
    11,822.50x = 17,731.05 × 4,427.74
  4. Step 4: Simplify right side
    11,822.50x = 78,508,479.33
  5. Step 5: Solve for x
    x = 78,508,479.33/11,822.50
  6. Step 6: Final answer
    x = 6,640.60

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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.