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Finding the Fourth Proportional to 11,046.54, 16,569.26 and 4,120.50

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Solution

The fourth proportional to 11,046.54, 16,569.26 and 4,120.50 is: 6,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.54 : 16,569.26 = 4,120.50 : x
  2. Step 2: Convert to fraction form
    11,046.54/16,569.26 = 4,120.50/x
  3. Step 3: Cross multiply
    11,046.54x = 16,569.26 × 4,120.50
  4. Step 4: Simplify right side
    11,046.54x = 68,273,635.83
  5. Step 5: Solve for x
    x = 68,273,635.83/11,046.54
  6. Step 6: Final answer
    x = 6,180.54

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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.