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Finding the Fourth Proportional to 11,048.50, 16,573.56 and 4,123

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Solution

The fourth proportional to 11,048.50, 16,573.56 and 4,123 is: 6,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.50 : 16,573.56 = 4,123 : x
  2. Step 2: Convert to fraction form
    11,048.50/16,573.56 = 4,123/x
  3. Step 3: Cross multiply
    11,048.50x = 16,573.56 × 4,123
  4. Step 4: Simplify right side
    11,048.50x = 68,332,787.88
  5. Step 5: Solve for x
    x = 68,332,787.88/11,048.50
  6. Step 6: Final answer
    x = 6,184.80

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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.