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Finding the Fourth Proportional to 11,838, 17,760.02 and 4,442.48

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Solution

The fourth proportional to 11,838, 17,760.02 and 4,442.48 is: 6,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838 : 17,760.02 = 4,442.48 : x
  2. Step 2: Convert to fraction form
    11,838/17,760.02 = 4,442.48/x
  3. Step 3: Cross multiply
    11,838x = 17,760.02 × 4,442.48
  4. Step 4: Simplify right side
    11,838x = 78,898,533.65
  5. Step 5: Solve for x
    x = 78,898,533.65/11,838
  6. Step 6: Final answer
    x = 6,664.85

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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.