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Finding the Fourth Proportional to 11,766.72, 17,649.46 and 3,001.10

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Solution

The fourth proportional to 11,766.72, 17,649.46 and 3,001.10 is: 4,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.72 : 17,649.46 = 3,001.10 : x
  2. Step 2: Convert to fraction form
    11,766.72/17,649.46 = 3,001.10/x
  3. Step 3: Cross multiply
    11,766.72x = 17,649.46 × 3,001.10
  4. Step 4: Simplify right side
    11,766.72x = 52,967,794.41
  5. Step 5: Solve for x
    x = 52,967,794.41/11,766.72
  6. Step 6: Final answer
    x = 4,501.49

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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.